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Finding the Third Proportional to 829,904 and 1,317,440

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Solution

The third proportional to 829,904 and 1,317,440 is: 2,091,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,904 : 1,317,440 = 1,317,440 : x
  2. Step 2: Convert to fraction form
    829,904/1,317,440 = 1,317,440/x
  3. Step 3: Cross multiply
    829,904x = 1,317,440 × 1,317,440
  4. Step 4: Simplify right side
    829,904x = 1,735,648,153,600
  5. Step 5: Solve for x
    x = 1,735,648,153,600/829,904
  6. Step 6: Final answer
    x = 2,091,384.25

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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.