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Finding the Third Proportional to 717,480 and 1,574,910

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Solution

The third proportional to 717,480 and 1,574,910 is: 3,457,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,480 : 1,574,910 = 1,574,910 : x
  2. Step 2: Convert to fraction form
    717,480/1,574,910 = 1,574,910/x
  3. Step 3: Cross multiply
    717,480x = 1,574,910 × 1,574,910
  4. Step 4: Simplify right side
    717,480x = 2,480,341,508,100
  5. Step 5: Solve for x
    x = 2,480,341,508,100/717,480
  6. Step 6: Final answer
    x = 3,457,018.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.