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Finding the Third Proportional to 965,718 and 1,528,830

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Solution

The third proportional to 965,718 and 1,528,830 is: 2,420,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,718 : 1,528,830 = 1,528,830 : x
  2. Step 2: Convert to fraction form
    965,718/1,528,830 = 1,528,830/x
  3. Step 3: Cross multiply
    965,718x = 1,528,830 × 1,528,830
  4. Step 4: Simplify right side
    965,718x = 2,337,321,168,900
  5. Step 5: Solve for x
    x = 2,337,321,168,900/965,718
  6. Step 6: Final answer
    x = 2,420,293.68

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