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Finding the Third Proportional to 1,350,740 and 2,138,862

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Solution

The third proportional to 1,350,740 and 2,138,862 is: 3,386,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350,740 : 2,138,862 = 2,138,862 : x
  2. Step 2: Convert to fraction form
    1,350,740/2,138,862 = 2,138,862/x
  3. Step 3: Cross multiply
    1,350,740x = 2,138,862 × 2,138,862
  4. Step 4: Simplify right side
    1,350,740x = 4,574,730,655,044
  5. Step 5: Solve for x
    x = 4,574,730,655,044/1,350,740
  6. Step 6: Final answer
    x = 3,386,832.89

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.