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Finding the Third Proportional to 977,913.63 and 1,495,942.17

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Solution

The third proportional to 977,913.63 and 1,495,942.17 is: 2,288,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,913.63 : 1,495,942.17 = 1,495,942.17 : x
  2. Step 2: Convert to fraction form
    977,913.63/1,495,942.17 = 1,495,942.17/x
  3. Step 3: Cross multiply
    977,913.63x = 1,495,942.17 × 1,495,942.17
  4. Step 4: Simplify right side
    977,913.63x = 2,237,842,981,594.09
  5. Step 5: Solve for x
    x = 2,237,842,981,594.09/977,913.63
  6. Step 6: Final answer
    x = 2,288,385.10

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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.