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Finding the Third Proportional to 1,264,227.75 and 2,730,461.91

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Solution

The third proportional to 1,264,227.75 and 2,730,461.91 is: 5,897,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,227.75 : 2,730,461.91 = 2,730,461.91 : x
  2. Step 2: Convert to fraction form
    1,264,227.75/2,730,461.91 = 2,730,461.91/x
  3. Step 3: Cross multiply
    1,264,227.75x = 2,730,461.91 × 2,730,461.91
  4. Step 4: Simplify right side
    1,264,227.75x = 7,455,422,221,482.38
  5. Step 5: Solve for x
    x = 7,455,422,221,482.38/1,264,227.75
  6. Step 6: Final answer
    x = 5,897,214.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.