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Finding the Third Proportional to 971,060 and 1,470,087.50

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Solution

The third proportional to 971,060 and 1,470,087.50 is: 2,225,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,060 : 1,470,087.50 = 1,470,087.50 : x
  2. Step 2: Convert to fraction form
    971,060/1,470,087.50 = 1,470,087.50/x
  3. Step 3: Cross multiply
    971,060x = 1,470,087.50 × 1,470,087.50
  4. Step 4: Simplify right side
    971,060x = 2,161,157,257,656.25
  5. Step 5: Solve for x
    x = 2,161,157,257,656.25/971,060
  6. Step 6: Final answer
    x = 2,225,565.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.