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Finding the Third Proportional to 934,654 and 1,400,412

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Solution

The third proportional to 934,654 and 1,400,412 is: 2,098,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,654 : 1,400,412 = 1,400,412 : x
  2. Step 2: Convert to fraction form
    934,654/1,400,412 = 1,400,412/x
  3. Step 3: Cross multiply
    934,654x = 1,400,412 × 1,400,412
  4. Step 4: Simplify right side
    934,654x = 1,961,153,769,744
  5. Step 5: Solve for x
    x = 1,961,153,769,744/934,654
  6. Step 6: Final answer
    x = 2,098,267.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.