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Finding the Third Proportional to 712,039 and 1,068,200

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Solution

The third proportional to 712,039 and 1,068,200 is: 1,602,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,039 : 1,068,200 = 1,068,200 : x
  2. Step 2: Convert to fraction form
    712,039/1,068,200 = 1,068,200/x
  3. Step 3: Cross multiply
    712,039x = 1,068,200 × 1,068,200
  4. Step 4: Simplify right side
    712,039x = 1,141,051,240,000
  5. Step 5: Solve for x
    x = 1,141,051,240,000/712,039
  6. Step 6: Final answer
    x = 1,602,512.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.