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Finding the Third Proportional to 697,459 and 1,478,627

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Solution

The third proportional to 697,459 and 1,478,627 is: 3,134,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,459 : 1,478,627 = 1,478,627 : x
  2. Step 2: Convert to fraction form
    697,459/1,478,627 = 1,478,627/x
  3. Step 3: Cross multiply
    697,459x = 1,478,627 × 1,478,627
  4. Step 4: Simplify right side
    697,459x = 2,186,337,805,129
  5. Step 5: Solve for x
    x = 2,186,337,805,129/697,459
  6. Step 6: Final answer
    x = 3,134,718.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.