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Finding the Third Proportional to 713,976 and 1,487,128

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Solution

The third proportional to 713,976 and 1,487,128 is: 3,097,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,976 : 1,487,128 = 1,487,128 : x
  2. Step 2: Convert to fraction form
    713,976/1,487,128 = 1,487,128/x
  3. Step 3: Cross multiply
    713,976x = 1,487,128 × 1,487,128
  4. Step 4: Simplify right side
    713,976x = 2,211,549,688,384
  5. Step 5: Solve for x
    x = 2,211,549,688,384/713,976
  6. Step 6: Final answer
    x = 3,097,512.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.