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Finding the Third Proportional to 413,098 and 907,495

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Solution

The third proportional to 413,098 and 907,495 is: 1,993,587.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,098 : 907,495 = 907,495 : x
  2. Step 2: Convert to fraction form
    413,098/907,495 = 907,495/x
  3. Step 3: Cross multiply
    413,098x = 907,495 × 907,495
  4. Step 4: Simplify right side
    413,098x = 823,547,175,025
  5. Step 5: Solve for x
    x = 823,547,175,025/413,098
  6. Step 6: Final answer
    x = 1,993,587.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.