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Finding the Third Proportional to 1,141,428 and 1,769,851.50

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Solution

The third proportional to 1,141,428 and 1,769,851.50 is: 2,744,259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141,428 : 1,769,851.50 = 1,769,851.50 : x
  2. Step 2: Convert to fraction form
    1,141,428/1,769,851.50 = 1,769,851.50/x
  3. Step 3: Cross multiply
    1,141,428x = 1,769,851.50 × 1,769,851.50
  4. Step 4: Simplify right side
    1,141,428x = 3,132,374,332,052.25
  5. Step 5: Solve for x
    x = 3,132,374,332,052.25/1,141,428
  6. Step 6: Final answer
    x = 2,744,259.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.