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Finding the Third Proportional to 297,114,366 and 651,624,297

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Solution

The third proportional to 297,114,366 and 651,624,297 is: 1,429,127,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,114,366 : 651,624,297 = 651,624,297 : x
  2. Step 2: Convert to fraction form
    297,114,366/651,624,297 = 651,624,297/x
  3. Step 3: Cross multiply
    297,114,366x = 651,624,297 × 651,624,297
  4. Step 4: Simplify right side
    297,114,366x = 424,614,224,440,744,192
  5. Step 5: Solve for x
    x = 424,614,224,440,744,192/297,114,366
  6. Step 6: Final answer
    x = 1,429,127,208.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.