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Finding the Third Proportional to 459,754 and 974,798

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Solution

The third proportional to 459,754 and 974,798 is: 2,066,825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,754 : 974,798 = 974,798 : x
  2. Step 2: Convert to fraction form
    459,754/974,798 = 974,798/x
  3. Step 3: Cross multiply
    459,754x = 974,798 × 974,798
  4. Step 4: Simplify right side
    459,754x = 950,231,140,804
  5. Step 5: Solve for x
    x = 950,231,140,804/459,754
  6. Step 6: Final answer
    x = 2,066,825.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.