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Finding the Third Proportional to 700,854 and 1,097,952

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Solution

The third proportional to 700,854 and 1,097,952 is: 1,720,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,854 : 1,097,952 = 1,097,952 : x
  2. Step 2: Convert to fraction form
    700,854/1,097,952 = 1,097,952/x
  3. Step 3: Cross multiply
    700,854x = 1,097,952 × 1,097,952
  4. Step 4: Simplify right side
    700,854x = 1,205,498,594,304
  5. Step 5: Solve for x
    x = 1,205,498,594,304/700,854
  6. Step 6: Final answer
    x = 1,720,042.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.