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Finding the Third Proportional to 966,250 and 1,420,959

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Solution

The third proportional to 966,250 and 1,420,959 is: 2,089,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,250 : 1,420,959 = 1,420,959 : x
  2. Step 2: Convert to fraction form
    966,250/1,420,959 = 1,420,959/x
  3. Step 3: Cross multiply
    966,250x = 1,420,959 × 1,420,959
  4. Step 4: Simplify right side
    966,250x = 2,019,124,479,681
  5. Step 5: Solve for x
    x = 2,019,124,479,681/966,250
  6. Step 6: Final answer
    x = 2,089,650.17

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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.