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Finding the Third Proportional to 779,708 and 1,708,320

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Solution

The third proportional to 779,708 and 1,708,320 is: 3,742,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,708 : 1,708,320 = 1,708,320 : x
  2. Step 2: Convert to fraction form
    779,708/1,708,320 = 1,708,320/x
  3. Step 3: Cross multiply
    779,708x = 1,708,320 × 1,708,320
  4. Step 4: Simplify right side
    779,708x = 2,918,357,222,400
  5. Step 5: Solve for x
    x = 2,918,357,222,400/779,708
  6. Step 6: Final answer
    x = 3,742,884.80

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Why These Related Problems?

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