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Finding the Third Proportional to 423,940 and 898,424

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Solution

The third proportional to 423,940 and 898,424 is: 1,903,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,940 : 898,424 = 898,424 : x
  2. Step 2: Convert to fraction form
    423,940/898,424 = 898,424/x
  3. Step 3: Cross multiply
    423,940x = 898,424 × 898,424
  4. Step 4: Simplify right side
    423,940x = 807,165,683,776
  5. Step 5: Solve for x
    x = 807,165,683,776/423,940
  6. Step 6: Final answer
    x = 1,903,962.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.