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Finding the Third Proportional to 971,202 and 1,470,348

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Solution

The third proportional to 971,202 and 1,470,348 is: 2,226,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,202 : 1,470,348 = 1,470,348 : x
  2. Step 2: Convert to fraction form
    971,202/1,470,348 = 1,470,348/x
  3. Step 3: Cross multiply
    971,202x = 1,470,348 × 1,470,348
  4. Step 4: Simplify right side
    971,202x = 2,161,923,241,104
  5. Step 5: Solve for x
    x = 2,161,923,241,104/971,202
  6. Step 6: Final answer
    x = 2,226,028.41

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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.