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Finding the Third Proportional to 610,468 and 898,047

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Solution

The third proportional to 610,468 and 898,047 is: 1,321,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,468 : 898,047 = 898,047 : x
  2. Step 2: Convert to fraction form
    610,468/898,047 = 898,047/x
  3. Step 3: Cross multiply
    610,468x = 898,047 × 898,047
  4. Step 4: Simplify right side
    610,468x = 806,488,414,209
  5. Step 5: Solve for x
    x = 806,488,414,209/610,468
  6. Step 6: Final answer
    x = 1,321,098.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.