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Finding the Third Proportional to 829,948 and 1,317,498

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Solution

The third proportional to 829,948 and 1,317,498 is: 2,091,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,948 : 1,317,498 = 1,317,498 : x
  2. Step 2: Convert to fraction form
    829,948/1,317,498 = 1,317,498/x
  3. Step 3: Cross multiply
    829,948x = 1,317,498 × 1,317,498
  4. Step 4: Simplify right side
    829,948x = 1,735,800,980,004
  5. Step 5: Solve for x
    x = 1,735,800,980,004/829,948
  6. Step 6: Final answer
    x = 2,091,457.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.