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Finding the Third Proportional to 712,309 and 1,018,532

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Solution

The third proportional to 712,309 and 1,018,532 is: 1,456,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,309 : 1,018,532 = 1,018,532 : x
  2. Step 2: Convert to fraction form
    712,309/1,018,532 = 1,018,532/x
  3. Step 3: Cross multiply
    712,309x = 1,018,532 × 1,018,532
  4. Step 4: Simplify right side
    712,309x = 1,037,407,435,024
  5. Step 5: Solve for x
    x = 1,037,407,435,024/712,309
  6. Step 6: Final answer
    x = 1,456,400.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.