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Finding the Third Proportional to 447,688 and 974,090

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Solution

The third proportional to 447,688 and 974,090 is: 2,119,447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,688 : 974,090 = 974,090 : x
  2. Step 2: Convert to fraction form
    447,688/974,090 = 974,090/x
  3. Step 3: Cross multiply
    447,688x = 974,090 × 974,090
  4. Step 4: Simplify right side
    447,688x = 948,851,328,100
  5. Step 5: Solve for x
    x = 948,851,328,100/447,688
  6. Step 6: Final answer
    x = 2,119,447.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.