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Finding the Third Proportional to 761,475 and 1,142,376

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Solution

The third proportional to 761,475 and 1,142,376 is: 1,713,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,475 : 1,142,376 = 1,142,376 : x
  2. Step 2: Convert to fraction form
    761,475/1,142,376 = 1,142,376/x
  3. Step 3: Cross multiply
    761,475x = 1,142,376 × 1,142,376
  4. Step 4: Simplify right side
    761,475x = 1,305,022,925,376
  5. Step 5: Solve for x
    x = 1,305,022,925,376/761,475
  6. Step 6: Final answer
    x = 1,713,809.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.