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Finding the Third Proportional to 872,347 and 1,303,292

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Solution

The third proportional to 872,347 and 1,303,292 is: 1,947,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,347 : 1,303,292 = 1,303,292 : x
  2. Step 2: Convert to fraction form
    872,347/1,303,292 = 1,303,292/x
  3. Step 3: Cross multiply
    872,347x = 1,303,292 × 1,303,292
  4. Step 4: Simplify right side
    872,347x = 1,698,570,037,264
  5. Step 5: Solve for x
    x = 1,698,570,037,264/872,347
  6. Step 6: Final answer
    x = 1,947,126.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.