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Finding the Third Proportional to 971,276 and 1,470,460

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Solution

The third proportional to 971,276 and 1,470,460 is: 2,226,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,276 : 1,470,460 = 1,470,460 : x
  2. Step 2: Convert to fraction form
    971,276/1,470,460 = 1,470,460/x
  3. Step 3: Cross multiply
    971,276x = 1,470,460 × 1,470,460
  4. Step 4: Simplify right side
    971,276x = 2,162,252,611,600
  5. Step 5: Solve for x
    x = 2,162,252,611,600/971,276
  6. Step 6: Final answer
    x = 2,226,197.92

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