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Finding the Third Proportional to 473,409.56 and 974,688.19

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Solution

The third proportional to 473,409.56 and 974,688.19 is: 2,006,755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,409.56 : 974,688.19 = 974,688.19 : x
  2. Step 2: Convert to fraction form
    473,409.56/974,688.19 = 974,688.19/x
  3. Step 3: Cross multiply
    473,409.56x = 974,688.19 × 974,688.19
  4. Step 4: Simplify right side
    473,409.56x = 950,017,062,852.04
  5. Step 5: Solve for x
    x = 950,017,062,852.04/473,409.56
  6. Step 6: Final answer
    x = 2,006,755.12

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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.