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Finding the Third Proportional to 912,637.50 and 1,418,735.63

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Solution

The third proportional to 912,637.50 and 1,418,735.63 is: 2,205,487.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,637.50 : 1,418,735.63 = 1,418,735.63 : x
  2. Step 2: Convert to fraction form
    912,637.50/1,418,735.63 = 1,418,735.63/x
  3. Step 3: Cross multiply
    912,637.50x = 1,418,735.63 × 1,418,735.63
  4. Step 4: Simplify right side
    912,637.50x = 2,012,810,773,644.14
  5. Step 5: Solve for x
    x = 2,012,810,773,644.14/912,637.50
  6. Step 6: Final answer
    x = 2,205,487.69

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