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Finding the Third Proportional to 974,536 and 1,499,840

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Solution

The third proportional to 974,536 and 1,499,840 is: 2,308,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,536 : 1,499,840 = 1,499,840 : x
  2. Step 2: Convert to fraction form
    974,536/1,499,840 = 1,499,840/x
  3. Step 3: Cross multiply
    974,536x = 1,499,840 × 1,499,840
  4. Step 4: Simplify right side
    974,536x = 2,249,520,025,600
  5. Step 5: Solve for x
    x = 2,249,520,025,600/974,536
  6. Step 6: Final answer
    x = 2,308,298.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.