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Finding the Third Proportional to 706,686 and 1,547,952

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Solution

The third proportional to 706,686 and 1,547,952 is: 3,390,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,686 : 1,547,952 = 1,547,952 : x
  2. Step 2: Convert to fraction form
    706,686/1,547,952 = 1,547,952/x
  3. Step 3: Cross multiply
    706,686x = 1,547,952 × 1,547,952
  4. Step 4: Simplify right side
    706,686x = 2,396,155,394,304
  5. Step 5: Solve for x
    x = 2,396,155,394,304/706,686
  6. Step 6: Final answer
    x = 3,390,693.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.