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Finding the Third Proportional to 712,305 and 1,018,527

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Solution

The third proportional to 712,305 and 1,018,527 is: 1,456,394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,305 : 1,018,527 = 1,018,527 : x
  2. Step 2: Convert to fraction form
    712,305/1,018,527 = 1,018,527/x
  3. Step 3: Cross multiply
    712,305x = 1,018,527 × 1,018,527
  4. Step 4: Simplify right side
    712,305x = 1,037,397,249,729
  5. Step 5: Solve for x
    x = 1,037,397,249,729/712,305
  6. Step 6: Final answer
    x = 1,456,394.73

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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.