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Finding the Third Proportional to 977,958 and 1,496,000.25

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Solution

The third proportional to 977,958 and 1,496,000.25 is: 2,288,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,958 : 1,496,000.25 = 1,496,000.25 : x
  2. Step 2: Convert to fraction form
    977,958/1,496,000.25 = 1,496,000.25/x
  3. Step 3: Cross multiply
    977,958x = 1,496,000.25 × 1,496,000.25
  4. Step 4: Simplify right side
    977,958x = 2,238,016,748,000.06
  5. Step 5: Solve for x
    x = 2,238,016,748,000.06/977,958
  6. Step 6: Final answer
    x = 2,288,458.96

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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.