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Finding the Third Proportional to 466,465 and 974,356

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Solution

The third proportional to 466,465 and 974,356 is: 2,035,242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,465 : 974,356 = 974,356 : x
  2. Step 2: Convert to fraction form
    466,465/974,356 = 974,356/x
  3. Step 3: Cross multiply
    466,465x = 974,356 × 974,356
  4. Step 4: Simplify right side
    466,465x = 949,369,614,736
  5. Step 5: Solve for x
    x = 949,369,614,736/466,465
  6. Step 6: Final answer
    x = 2,035,242.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.