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Finding the Third Proportional to 696,289,455 and 1,041,673,525.75

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Solution

The third proportional to 696,289,455 and 1,041,673,525.75 is: 1,558,380,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,289,455 : 1,041,673,525.75 = 1,041,673,525.75 : x
  2. Step 2: Convert to fraction form
    696,289,455/1,041,673,525.75 = 1,041,673,525.75/x
  3. Step 3: Cross multiply
    696,289,455x = 1,041,673,525.75 × 1,041,673,525.75
  4. Step 4: Simplify right side
    696,289,455x = 1,085,083,734,248,435,968
  5. Step 5: Solve for x
    x = 1,085,083,734,248,435,968/696,289,455
  6. Step 6: Final answer
    x = 1,558,380,248.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.