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Finding the Third Proportional to 3,532,646.25 and 5,602,963.50

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Solution

The third proportional to 3,532,646.25 and 5,602,963.50 is: 8,886,595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532,646.25 : 5,602,963.50 = 5,602,963.50 : x
  2. Step 2: Convert to fraction form
    3,532,646.25/5,602,963.50 = 5,602,963.50/x
  3. Step 3: Cross multiply
    3,532,646.25x = 5,602,963.50 × 5,602,963.50
  4. Step 4: Simplify right side
    3,532,646.25x = 31,393,199,982,332.25
  5. Step 5: Solve for x
    x = 31,393,199,982,332.25/3,532,646.25
  6. Step 6: Final answer
    x = 8,886,595.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.