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Finding the Third Proportional to 717,910 and 1,566,220

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Solution

The third proportional to 717,910 and 1,566,220 is: 3,416,925.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,910 : 1,566,220 = 1,566,220 : x
  2. Step 2: Convert to fraction form
    717,910/1,566,220 = 1,566,220/x
  3. Step 3: Cross multiply
    717,910x = 1,566,220 × 1,566,220
  4. Step 4: Simplify right side
    717,910x = 2,453,045,088,400
  5. Step 5: Solve for x
    x = 2,453,045,088,400/717,910
  6. Step 6: Final answer
    x = 3,416,925.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.