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Finding the Third Proportional to 581,076 and 1,258,663

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Solution

The third proportional to 581,076 and 1,258,663 is: 2,726,377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,076 : 1,258,663 = 1,258,663 : x
  2. Step 2: Convert to fraction form
    581,076/1,258,663 = 1,258,663/x
  3. Step 3: Cross multiply
    581,076x = 1,258,663 × 1,258,663
  4. Step 4: Simplify right side
    581,076x = 1,584,232,547,569
  5. Step 5: Solve for x
    x = 1,584,232,547,569/581,076
  6. Step 6: Final answer
    x = 2,726,377.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.