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Finding the Third Proportional to 715,473 and 1,516,212

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Solution

The third proportional to 715,473 and 1,516,212 is: 3,213,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,473 : 1,516,212 = 1,516,212 : x
  2. Step 2: Convert to fraction form
    715,473/1,516,212 = 1,516,212/x
  3. Step 3: Cross multiply
    715,473x = 1,516,212 × 1,516,212
  4. Step 4: Simplify right side
    715,473x = 2,298,898,828,944
  5. Step 5: Solve for x
    x = 2,298,898,828,944/715,473
  6. Step 6: Final answer
    x = 3,213,117.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.