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Finding the Third Proportional to 582,701 and 1,267,948

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Solution

The third proportional to 582,701 and 1,267,948 is: 2,759,034.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,701 : 1,267,948 = 1,267,948 : x
  2. Step 2: Convert to fraction form
    582,701/1,267,948 = 1,267,948/x
  3. Step 3: Cross multiply
    582,701x = 1,267,948 × 1,267,948
  4. Step 4: Simplify right side
    582,701x = 1,607,692,130,704
  5. Step 5: Solve for x
    x = 1,607,692,130,704/582,701
  6. Step 6: Final answer
    x = 2,759,034.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.