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Finding the Third Proportional to 965,734 and 1,528,854

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Solution

The third proportional to 965,734 and 1,528,854 is: 2,420,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,734 : 1,528,854 = 1,528,854 : x
  2. Step 2: Convert to fraction form
    965,734/1,528,854 = 1,528,854/x
  3. Step 3: Cross multiply
    965,734x = 1,528,854 × 1,528,854
  4. Step 4: Simplify right side
    965,734x = 2,337,394,553,316
  5. Step 5: Solve for x
    x = 2,337,394,553,316/965,734
  6. Step 6: Final answer
    x = 2,420,329.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.