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Finding the Third Proportional to 473,315.63 and 974,541.38

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Solution

The third proportional to 473,315.63 and 974,541.38 is: 2,006,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,315.63 : 974,541.38 = 974,541.38 : x
  2. Step 2: Convert to fraction form
    473,315.63/974,541.38 = 974,541.38/x
  3. Step 3: Cross multiply
    473,315.63x = 974,541.38 × 974,541.38
  4. Step 4: Simplify right side
    473,315.63x = 949,730,891,586.89
  5. Step 5: Solve for x
    x = 949,730,891,586.89/473,315.63
  6. Step 6: Final answer
    x = 2,006,548.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.