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Finding the Third Proportional to 974,700 and 2,256,282

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Solution

The third proportional to 974,700 and 2,256,282 is: 5,222,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,700 : 2,256,282 = 2,256,282 : x
  2. Step 2: Convert to fraction form
    974,700/2,256,282 = 2,256,282/x
  3. Step 3: Cross multiply
    974,700x = 2,256,282 × 2,256,282
  4. Step 4: Simplify right side
    974,700x = 5,090,808,463,524
  5. Step 5: Solve for x
    x = 5,090,808,463,524/974,700
  6. Step 6: Final answer
    x = 5,222,949.08

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.