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Finding the Third Proportional to 968,976 and 1,487,363

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Solution

The third proportional to 968,976 and 1,487,363 is: 2,283,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,976 : 1,487,363 = 1,487,363 : x
  2. Step 2: Convert to fraction form
    968,976/1,487,363 = 1,487,363/x
  3. Step 3: Cross multiply
    968,976x = 1,487,363 × 1,487,363
  4. Step 4: Simplify right side
    968,976x = 2,212,248,693,769
  5. Step 5: Solve for x
    x = 2,212,248,693,769/968,976
  6. Step 6: Final answer
    x = 2,283,078.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.