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Finding the Third Proportional to 776,962.13 and 1,686,784.50

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Solution

The third proportional to 776,962.13 and 1,686,784.50 is: 3,662,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,962.13 : 1,686,784.50 = 1,686,784.50 : x
  2. Step 2: Convert to fraction form
    776,962.13/1,686,784.50 = 1,686,784.50/x
  3. Step 3: Cross multiply
    776,962.13x = 1,686,784.50 × 1,686,784.50
  4. Step 4: Simplify right side
    776,962.13x = 2,845,241,949,440.25
  5. Step 5: Solve for x
    x = 2,845,241,949,440.25/776,962.13
  6. Step 6: Final answer
    x = 3,662,008.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.