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Finding the Third Proportional to 1,191,376 and 2,417,312

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Solution

The third proportional to 1,191,376 and 2,417,312 is: 4,904,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,376 : 2,417,312 = 2,417,312 : x
  2. Step 2: Convert to fraction form
    1,191,376/2,417,312 = 2,417,312/x
  3. Step 3: Cross multiply
    1,191,376x = 2,417,312 × 2,417,312
  4. Step 4: Simplify right side
    1,191,376x = 5,843,397,305,344
  5. Step 5: Solve for x
    x = 5,843,397,305,344/1,191,376
  6. Step 6: Final answer
    x = 4,904,746.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.