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Finding the Third Proportional to 974,259 and 1,457,428.50

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Solution

The third proportional to 974,259 and 1,457,428.50 is: 2,180,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,259 : 1,457,428.50 = 1,457,428.50 : x
  2. Step 2: Convert to fraction form
    974,259/1,457,428.50 = 1,457,428.50/x
  3. Step 3: Cross multiply
    974,259x = 1,457,428.50 × 1,457,428.50
  4. Step 4: Simplify right side
    974,259x = 2,124,097,832,612.25
  5. Step 5: Solve for x
    x = 2,124,097,832,612.25/974,259
  6. Step 6: Final answer
    x = 2,180,218.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.