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Finding the Third Proportional to 657,962.25 and 1,434,913.50

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Solution

The third proportional to 657,962.25 and 1,434,913.50 is: 3,129,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,962.25 : 1,434,913.50 = 1,434,913.50 : x
  2. Step 2: Convert to fraction form
    657,962.25/1,434,913.50 = 1,434,913.50/x
  3. Step 3: Cross multiply
    657,962.25x = 1,434,913.50 × 1,434,913.50
  4. Step 4: Simplify right side
    657,962.25x = 2,058,976,752,482.25
  5. Step 5: Solve for x
    x = 2,058,976,752,482.25/657,962.25
  6. Step 6: Final answer
    x = 3,129,323.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.