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Finding the Third Proportional to 720,734 and 1,013,804

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Solution

The third proportional to 720,734 and 1,013,804 is: 1,426,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,734 : 1,013,804 = 1,013,804 : x
  2. Step 2: Convert to fraction form
    720,734/1,013,804 = 1,013,804/x
  3. Step 3: Cross multiply
    720,734x = 1,013,804 × 1,013,804
  4. Step 4: Simplify right side
    720,734x = 1,027,798,550,416
  5. Step 5: Solve for x
    x = 1,027,798,550,416/720,734
  6. Step 6: Final answer
    x = 1,426,044.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.