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Finding the Third Proportional to 872,068 and 2,038,042

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Solution

The third proportional to 872,068 and 2,038,042 is: 4,762,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,068 : 2,038,042 = 2,038,042 : x
  2. Step 2: Convert to fraction form
    872,068/2,038,042 = 2,038,042/x
  3. Step 3: Cross multiply
    872,068x = 2,038,042 × 2,038,042
  4. Step 4: Simplify right side
    872,068x = 4,153,615,193,764
  5. Step 5: Solve for x
    x = 4,153,615,193,764/872,068
  6. Step 6: Final answer
    x = 4,762,948.75

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.