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Finding the Third Proportional to 803,454 and 1,101,708

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Solution

The third proportional to 803,454 and 1,101,708 is: 1,510,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,454 : 1,101,708 = 1,101,708 : x
  2. Step 2: Convert to fraction form
    803,454/1,101,708 = 1,101,708/x
  3. Step 3: Cross multiply
    803,454x = 1,101,708 × 1,101,708
  4. Step 4: Simplify right side
    803,454x = 1,213,760,517,264
  5. Step 5: Solve for x
    x = 1,213,760,517,264/803,454
  6. Step 6: Final answer
    x = 1,510,678.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.