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Finding the Third Proportional to 2,147,433.19 and 4,602,265.17

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Solution

The third proportional to 2,147,433.19 and 4,602,265.17 is: 9,863,331.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147,433.19 : 4,602,265.17 = 4,602,265.17 : x
  2. Step 2: Convert to fraction form
    2,147,433.19/4,602,265.17 = 4,602,265.17/x
  3. Step 3: Cross multiply
    2,147,433.19x = 4,602,265.17 × 4,602,265.17
  4. Step 4: Simplify right side
    2,147,433.19x = 21,180,844,712,253.62
  5. Step 5: Solve for x
    x = 21,180,844,712,253.62/2,147,433.19
  6. Step 6: Final answer
    x = 9,863,331.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.