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Finding the Third Proportional to 697,466 and 1,478,640

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Solution

The third proportional to 697,466 and 1,478,640 is: 3,134,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,466 : 1,478,640 = 1,478,640 : x
  2. Step 2: Convert to fraction form
    697,466/1,478,640 = 1,478,640/x
  3. Step 3: Cross multiply
    697,466x = 1,478,640 × 1,478,640
  4. Step 4: Simplify right side
    697,466x = 2,186,376,249,600
  5. Step 5: Solve for x
    x = 2,186,376,249,600/697,466
  6. Step 6: Final answer
    x = 3,134,742.41

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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.