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Finding the Third Proportional to 1,154,712 and 1,663,314

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Solution

The third proportional to 1,154,712 and 1,663,314 is: 2,395,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,712 : 1,663,314 = 1,663,314 : x
  2. Step 2: Convert to fraction form
    1,154,712/1,663,314 = 1,663,314/x
  3. Step 3: Cross multiply
    1,154,712x = 1,663,314 × 1,663,314
  4. Step 4: Simplify right side
    1,154,712x = 2,766,613,462,596
  5. Step 5: Solve for x
    x = 2,766,613,462,596/1,154,712
  6. Step 6: Final answer
    x = 2,395,933.76

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.