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Finding the Third Proportional to 686,719.13 and 1,046,071.13

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Solution

The third proportional to 686,719.13 and 1,046,071.13 is: 1,593,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,719.13 : 1,046,071.13 = 1,046,071.13 : x
  2. Step 2: Convert to fraction form
    686,719.13/1,046,071.13 = 1,046,071.13/x
  3. Step 3: Cross multiply
    686,719.13x = 1,046,071.13 × 1,046,071.13
  4. Step 4: Simplify right side
    686,719.13x = 1,094,264,798,558.77
  5. Step 5: Solve for x
    x = 1,094,264,798,558.77/686,719.13
  6. Step 6: Final answer
    x = 1,593,467.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.