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Finding the Third Proportional to 646,497.84 and 1,371,799.97

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Solution

The third proportional to 646,497.84 and 1,371,799.97 is: 2,910,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,497.84 : 1,371,799.97 = 1,371,799.97 : x
  2. Step 2: Convert to fraction form
    646,497.84/1,371,799.97 = 1,371,799.97/x
  3. Step 3: Cross multiply
    646,497.84x = 1,371,799.97 × 1,371,799.97
  4. Step 4: Simplify right side
    646,497.84x = 1,881,835,154,262.50
  5. Step 5: Solve for x
    x = 1,881,835,154,262.50/646,497.84
  6. Step 6: Final answer
    x = 2,910,814.28

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.