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Finding the Third Proportional to 458,038 and 983,900

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Solution

The third proportional to 458,038 and 983,900 is: 2,113,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,038 : 983,900 = 983,900 : x
  2. Step 2: Convert to fraction form
    458,038/983,900 = 983,900/x
  3. Step 3: Cross multiply
    458,038x = 983,900 × 983,900
  4. Step 4: Simplify right side
    458,038x = 968,059,210,000
  5. Step 5: Solve for x
    x = 968,059,210,000/458,038
  6. Step 6: Final answer
    x = 2,113,491.04

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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.