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Finding the Third Proportional to 466,468 and 974,362

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Solution

The third proportional to 466,468 and 974,362 is: 2,035,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,468 : 974,362 = 974,362 : x
  2. Step 2: Convert to fraction form
    466,468/974,362 = 974,362/x
  3. Step 3: Cross multiply
    466,468x = 974,362 × 974,362
  4. Step 4: Simplify right side
    466,468x = 949,381,307,044
  5. Step 5: Solve for x
    x = 949,381,307,044/466,468
  6. Step 6: Final answer
    x = 2,035,254.95

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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.