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Finding the Third Proportional to 1,109,164 and 1,712,657

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Solution

The third proportional to 1,109,164 and 1,712,657 is: 2,644,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,164 : 1,712,657 = 1,712,657 : x
  2. Step 2: Convert to fraction form
    1,109,164/1,712,657 = 1,712,657/x
  3. Step 3: Cross multiply
    1,109,164x = 1,712,657 × 1,712,657
  4. Step 4: Simplify right side
    1,109,164x = 2,933,193,999,649
  5. Step 5: Solve for x
    x = 2,933,193,999,649/1,109,164
  6. Step 6: Final answer
    x = 2,644,508.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.