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Finding the Third Proportional to 584,647.13 and 1,281,013.13

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Solution

The third proportional to 584,647.13 and 1,281,013.13 is: 2,806,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,647.13 : 1,281,013.13 = 1,281,013.13 : x
  2. Step 2: Convert to fraction form
    584,647.13/1,281,013.13 = 1,281,013.13/x
  3. Step 3: Cross multiply
    584,647.13x = 1,281,013.13 × 1,281,013.13
  4. Step 4: Simplify right side
    584,647.13x = 1,640,994,626,422.27
  5. Step 5: Solve for x
    x = 1,640,994,626,422.27/584,647.13
  6. Step 6: Final answer
    x = 2,806,812.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.