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Finding the Third Proportional to 704,309 and 1,466,986

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Solution

The third proportional to 704,309 and 1,466,986 is: 3,055,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,309 : 1,466,986 = 1,466,986 : x
  2. Step 2: Convert to fraction form
    704,309/1,466,986 = 1,466,986/x
  3. Step 3: Cross multiply
    704,309x = 1,466,986 × 1,466,986
  4. Step 4: Simplify right side
    704,309x = 2,152,047,924,196
  5. Step 5: Solve for x
    x = 2,152,047,924,196/704,309
  6. Step 6: Final answer
    x = 3,055,545.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.