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Finding the Third Proportional to 633,674 and 1,319,784

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Solution

The third proportional to 633,674 and 1,319,784 is: 2,748,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,674 : 1,319,784 = 1,319,784 : x
  2. Step 2: Convert to fraction form
    633,674/1,319,784 = 1,319,784/x
  3. Step 3: Cross multiply
    633,674x = 1,319,784 × 1,319,784
  4. Step 4: Simplify right side
    633,674x = 1,741,829,806,656
  5. Step 5: Solve for x
    x = 1,741,829,806,656/633,674
  6. Step 6: Final answer
    x = 2,748,779.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.