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Finding the Third Proportional to 709,784 and 1,072,072

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Solution

The third proportional to 709,784 and 1,072,072 is: 1,619,279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,784 : 1,072,072 = 1,072,072 : x
  2. Step 2: Convert to fraction form
    709,784/1,072,072 = 1,072,072/x
  3. Step 3: Cross multiply
    709,784x = 1,072,072 × 1,072,072
  4. Step 4: Simplify right side
    709,784x = 1,149,338,373,184
  5. Step 5: Solve for x
    x = 1,149,338,373,184/709,784
  6. Step 6: Final answer
    x = 1,619,279.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.