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Finding the Third Proportional to 716,700 and 1,036,017

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Solution

The third proportional to 716,700 and 1,036,017 is: 1,497,601.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,700 : 1,036,017 = 1,036,017 : x
  2. Step 2: Convert to fraction form
    716,700/1,036,017 = 1,036,017/x
  3. Step 3: Cross multiply
    716,700x = 1,036,017 × 1,036,017
  4. Step 4: Simplify right side
    716,700x = 1,073,331,224,289
  5. Step 5: Solve for x
    x = 1,073,331,224,289/716,700
  6. Step 6: Final answer
    x = 1,497,601.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.