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Finding the Third Proportional to 610,211.81 and 1,312,259.91

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Solution

The third proportional to 610,211.81 and 1,312,259.91 is: 2,822,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,211.81 : 1,312,259.91 = 1,312,259.91 : x
  2. Step 2: Convert to fraction form
    610,211.81/1,312,259.91 = 1,312,259.91/x
  3. Step 3: Cross multiply
    610,211.81x = 1,312,259.91 × 1,312,259.91
  4. Step 4: Simplify right side
    610,211.81x = 1,722,026,061,551.26
  5. Step 5: Solve for x
    x = 1,722,026,061,551.26/610,211.81
  6. Step 6: Final answer
    x = 2,822,013.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.