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Finding the Third Proportional to 456,854 and 983,708

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Solution

The third proportional to 456,854 and 983,708 is: 2,118,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,854 : 983,708 = 983,708 : x
  2. Step 2: Convert to fraction form
    456,854/983,708 = 983,708/x
  3. Step 3: Cross multiply
    456,854x = 983,708 × 983,708
  4. Step 4: Simplify right side
    456,854x = 967,681,429,264
  5. Step 5: Solve for x
    x = 967,681,429,264/456,854
  6. Step 6: Final answer
    x = 2,118,141.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.