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Finding the Third Proportional to 964,458 and 1,358,559

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Solution

The third proportional to 964,458 and 1,358,559 is: 1,913,699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,458 : 1,358,559 = 1,358,559 : x
  2. Step 2: Convert to fraction form
    964,458/1,358,559 = 1,358,559/x
  3. Step 3: Cross multiply
    964,458x = 1,358,559 × 1,358,559
  4. Step 4: Simplify right side
    964,458x = 1,845,682,556,481
  5. Step 5: Solve for x
    x = 1,845,682,556,481/964,458
  6. Step 6: Final answer
    x = 1,913,699.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.