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Finding the Third Proportional to 466,506 and 974,428

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Solution

The third proportional to 466,506 and 974,428 is: 2,035,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,506 : 974,428 = 974,428 : x
  2. Step 2: Convert to fraction form
    466,506/974,428 = 974,428/x
  3. Step 3: Cross multiply
    466,506x = 974,428 × 974,428
  4. Step 4: Simplify right side
    466,506x = 949,509,927,184
  5. Step 5: Solve for x
    x = 949,509,927,184/466,506
  6. Step 6: Final answer
    x = 2,035,364.88

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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.