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Finding the Third Proportional to 448,856 and 983,560

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Solution

The third proportional to 448,856 and 983,560 is: 2,155,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,856 : 983,560 = 983,560 : x
  2. Step 2: Convert to fraction form
    448,856/983,560 = 983,560/x
  3. Step 3: Cross multiply
    448,856x = 983,560 × 983,560
  4. Step 4: Simplify right side
    448,856x = 967,390,273,600
  5. Step 5: Solve for x
    x = 967,390,273,600/448,856
  6. Step 6: Final answer
    x = 2,155,235.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.