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Finding the Third Proportional to 691,114 and 1,031,340

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Solution

The third proportional to 691,114 and 1,031,340 is: 1,539,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,114 : 1,031,340 = 1,031,340 : x
  2. Step 2: Convert to fraction form
    691,114/1,031,340 = 1,031,340/x
  3. Step 3: Cross multiply
    691,114x = 1,031,340 × 1,031,340
  4. Step 4: Simplify right side
    691,114x = 1,063,662,195,600
  5. Step 5: Solve for x
    x = 1,063,662,195,600/691,114
  6. Step 6: Final answer
    x = 1,539,054.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.