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Finding the Third Proportional to 1,057,234 and 1,702,309

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Solution

The third proportional to 1,057,234 and 1,702,309 is: 2,740,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,234 : 1,702,309 = 1,702,309 : x
  2. Step 2: Convert to fraction form
    1,057,234/1,702,309 = 1,702,309/x
  3. Step 3: Cross multiply
    1,057,234x = 1,702,309 × 1,702,309
  4. Step 4: Simplify right side
    1,057,234x = 2,897,855,931,481
  5. Step 5: Solve for x
    x = 2,897,855,931,481/1,057,234
  6. Step 6: Final answer
    x = 2,740,978.75

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.