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Finding the Third Proportional to 501,659 and 1,071,358

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Solution

The third proportional to 501,659 and 1,071,358 is: 2,288,024.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,659 : 1,071,358 = 1,071,358 : x
  2. Step 2: Convert to fraction form
    501,659/1,071,358 = 1,071,358/x
  3. Step 3: Cross multiply
    501,659x = 1,071,358 × 1,071,358
  4. Step 4: Simplify right side
    501,659x = 1,147,807,964,164
  5. Step 5: Solve for x
    x = 1,147,807,964,164/501,659
  6. Step 6: Final answer
    x = 2,288,024.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.