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Finding the Third Proportional to 611,036 and 924,417

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Solution

The third proportional to 611,036 and 924,417 is: 1,398,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,036 : 924,417 = 924,417 : x
  2. Step 2: Convert to fraction form
    611,036/924,417 = 924,417/x
  3. Step 3: Cross multiply
    611,036x = 924,417 × 924,417
  4. Step 4: Simplify right side
    611,036x = 854,546,789,889
  5. Step 5: Solve for x
    x = 854,546,789,889/611,036
  6. Step 6: Final answer
    x = 1,398,521.18

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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.