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Finding the Third Proportional to 964,345 and 1,313,481

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Solution

The third proportional to 964,345 and 1,313,481 is: 1,789,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,345 : 1,313,481 = 1,313,481 : x
  2. Step 2: Convert to fraction form
    964,345/1,313,481 = 1,313,481/x
  3. Step 3: Cross multiply
    964,345x = 1,313,481 × 1,313,481
  4. Step 4: Simplify right side
    964,345x = 1,725,232,337,361
  5. Step 5: Solve for x
    x = 1,725,232,337,361/964,345
  6. Step 6: Final answer
    x = 1,789,019.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.