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Finding the Third Proportional to 611,033 and 924,412

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Solution

The third proportional to 611,033 and 924,412 is: 1,398,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,033 : 924,412 = 924,412 : x
  2. Step 2: Convert to fraction form
    611,033/924,412 = 924,412/x
  3. Step 3: Cross multiply
    611,033x = 924,412 × 924,412
  4. Step 4: Simplify right side
    611,033x = 854,537,545,744
  5. Step 5: Solve for x
    x = 854,537,545,744/611,033
  6. Step 6: Final answer
    x = 1,398,512.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.