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Finding the Third Proportional to 716,854 and 1,118,830

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Solution

The third proportional to 716,854 and 1,118,830 is: 1,746,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,854 : 1,118,830 = 1,118,830 : x
  2. Step 2: Convert to fraction form
    716,854/1,118,830 = 1,118,830/x
  3. Step 3: Cross multiply
    716,854x = 1,118,830 × 1,118,830
  4. Step 4: Simplify right side
    716,854x = 1,251,780,568,900
  5. Step 5: Solve for x
    x = 1,251,780,568,900/716,854
  6. Step 6: Final answer
    x = 1,746,214.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.