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Finding the Third Proportional to 720,234 and 1,547,221

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Solution

The third proportional to 720,234 and 1,547,221 is: 3,323,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,234 : 1,547,221 = 1,547,221 : x
  2. Step 2: Convert to fraction form
    720,234/1,547,221 = 1,547,221/x
  3. Step 3: Cross multiply
    720,234x = 1,547,221 × 1,547,221
  4. Step 4: Simplify right side
    720,234x = 2,393,892,822,841
  5. Step 5: Solve for x
    x = 2,393,892,822,841/720,234
  6. Step 6: Final answer
    x = 3,323,770.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.