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Finding the Third Proportional to 665,086 and 974,046

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Solution

The third proportional to 665,086 and 974,046 is: 1,426,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,086 : 974,046 = 974,046 : x
  2. Step 2: Convert to fraction form
    665,086/974,046 = 974,046/x
  3. Step 3: Cross multiply
    665,086x = 974,046 × 974,046
  4. Step 4: Simplify right side
    665,086x = 948,765,610,116
  5. Step 5: Solve for x
    x = 948,765,610,116/665,086
  6. Step 6: Final answer
    x = 1,426,530.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.