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Finding the Third Proportional to 910,827 and 1,336,711.50

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Solution

The third proportional to 910,827 and 1,336,711.50 is: 1,961,731.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,827 : 1,336,711.50 = 1,336,711.50 : x
  2. Step 2: Convert to fraction form
    910,827/1,336,711.50 = 1,336,711.50/x
  3. Step 3: Cross multiply
    910,827x = 1,336,711.50 × 1,336,711.50
  4. Step 4: Simplify right side
    910,827x = 1,786,797,634,232.25
  5. Step 5: Solve for x
    x = 1,786,797,634,232.25/910,827
  6. Step 6: Final answer
    x = 1,961,731.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.