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Finding the Third Proportional to 953,810 and 1,432,560

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Solution

The third proportional to 953,810 and 1,432,560 is: 2,151,611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,810 : 1,432,560 = 1,432,560 : x
  2. Step 2: Convert to fraction form
    953,810/1,432,560 = 1,432,560/x
  3. Step 3: Cross multiply
    953,810x = 1,432,560 × 1,432,560
  4. Step 4: Simplify right side
    953,810x = 2,052,228,153,600
  5. Step 5: Solve for x
    x = 2,052,228,153,600/953,810
  6. Step 6: Final answer
    x = 2,151,611.07

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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.