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Finding the Third Proportional to 977,927 and 1,495,958

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Solution

The third proportional to 977,927 and 1,495,958 is: 2,288,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,927 : 1,495,958 = 1,495,958 : x
  2. Step 2: Convert to fraction form
    977,927/1,495,958 = 1,495,958/x
  3. Step 3: Cross multiply
    977,927x = 1,495,958 × 1,495,958
  4. Step 4: Simplify right side
    977,927x = 2,237,890,337,764
  5. Step 5: Solve for x
    x = 2,237,890,337,764/977,927
  6. Step 6: Final answer
    x = 2,288,402.24

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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.