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Finding the Third Proportional to 624,744,024 and 914,118,722

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Solution

The third proportional to 624,744,024 and 914,118,722 is: 1,337,528,661.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,744,024 : 914,118,722 = 914,118,722 : x
  2. Step 2: Convert to fraction form
    624,744,024/914,118,722 = 914,118,722/x
  3. Step 3: Cross multiply
    624,744,024x = 914,118,722 × 914,118,722
  4. Step 4: Simplify right side
    624,744,024x = 835,613,037,910,913,280
  5. Step 5: Solve for x
    x = 835,613,037,910,913,280/624,744,024
  6. Step 6: Final answer
    x = 1,337,528,661.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.