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Finding the Third Proportional to 779,924 and 1,687,784

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Solution

The third proportional to 779,924 and 1,687,784 is: 3,652,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,924 : 1,687,784 = 1,687,784 : x
  2. Step 2: Convert to fraction form
    779,924/1,687,784 = 1,687,784/x
  3. Step 3: Cross multiply
    779,924x = 1,687,784 × 1,687,784
  4. Step 4: Simplify right side
    779,924x = 2,848,614,830,656
  5. Step 5: Solve for x
    x = 2,848,614,830,656/779,924
  6. Step 6: Final answer
    x = 3,652,426.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.