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Finding the Third Proportional to 654,967 and 1,041,498

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Solution

The third proportional to 654,967 and 1,041,498 is: 1,656,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,967 : 1,041,498 = 1,041,498 : x
  2. Step 2: Convert to fraction form
    654,967/1,041,498 = 1,041,498/x
  3. Step 3: Cross multiply
    654,967x = 1,041,498 × 1,041,498
  4. Step 4: Simplify right side
    654,967x = 1,084,718,084,004
  5. Step 5: Solve for x
    x = 1,084,718,084,004/654,967
  6. Step 6: Final answer
    x = 1,656,141.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.