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Finding the Third Proportional to 872,042 and 1,273,550

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Solution

The third proportional to 872,042 and 1,273,550 is: 1,859,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,042 : 1,273,550 = 1,273,550 : x
  2. Step 2: Convert to fraction form
    872,042/1,273,550 = 1,273,550/x
  3. Step 3: Cross multiply
    872,042x = 1,273,550 × 1,273,550
  4. Step 4: Simplify right side
    872,042x = 1,621,929,602,500
  5. Step 5: Solve for x
    x = 1,621,929,602,500/872,042
  6. Step 6: Final answer
    x = 1,859,921.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.