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Finding the Third Proportional to 446,709,216 and 670,536,220

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Solution

The third proportional to 446,709,216 and 670,536,220 is: 1,006,513,423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,709,216 : 670,536,220 = 670,536,220 : x
  2. Step 2: Convert to fraction form
    446,709,216/670,536,220 = 670,536,220/x
  3. Step 3: Cross multiply
    446,709,216x = 670,536,220 × 670,536,220
  4. Step 4: Simplify right side
    446,709,216x = 449,618,822,331,888,384
  5. Step 5: Solve for x
    x = 449,618,822,331,888,384/446,709,216
  6. Step 6: Final answer
    x = 1,006,513,423.56

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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.