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Finding the Third Proportional to 712,033 and 1,068,191

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Solution

The third proportional to 712,033 and 1,068,191 is: 1,602,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,033 : 1,068,191 = 1,068,191 : x
  2. Step 2: Convert to fraction form
    712,033/1,068,191 = 1,068,191/x
  3. Step 3: Cross multiply
    712,033x = 1,068,191 × 1,068,191
  4. Step 4: Simplify right side
    712,033x = 1,141,032,012,481
  5. Step 5: Solve for x
    x = 1,141,032,012,481/712,033
  6. Step 6: Final answer
    x = 1,602,498.78

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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.