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Finding the Third Proportional to 2,259,319.71 and 4,966,985.18

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Solution

The third proportional to 2,259,319.71 and 4,966,985.18 is: 10,919,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259,319.71 : 4,966,985.18 = 4,966,985.18 : x
  2. Step 2: Convert to fraction form
    2,259,319.71/4,966,985.18 = 4,966,985.18/x
  3. Step 3: Cross multiply
    2,259,319.71x = 4,966,985.18 × 4,966,985.18
  4. Step 4: Simplify right side
    2,259,319.71x = 24,670,941,775,235.27
  5. Step 5: Solve for x
    x = 24,670,941,775,235.27/2,259,319.71
  6. Step 6: Final answer
    x = 10,919,632.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.