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Finding the Third Proportional to 980,864 and 1,499,807

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Solution

The third proportional to 980,864 and 1,499,807 is: 2,293,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,864 : 1,499,807 = 1,499,807 : x
  2. Step 2: Convert to fraction form
    980,864/1,499,807 = 1,499,807/x
  3. Step 3: Cross multiply
    980,864x = 1,499,807 × 1,499,807
  4. Step 4: Simplify right side
    980,864x = 2,249,421,037,249
  5. Step 5: Solve for x
    x = 2,249,421,037,249/980,864
  6. Step 6: Final answer
    x = 2,293,305.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.