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Finding the Third Proportional to 762,768 and 1,645,488

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Solution

The third proportional to 762,768 and 1,645,488 is: 3,549,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,768 : 1,645,488 = 1,645,488 : x
  2. Step 2: Convert to fraction form
    762,768/1,645,488 = 1,645,488/x
  3. Step 3: Cross multiply
    762,768x = 1,645,488 × 1,645,488
  4. Step 4: Simplify right side
    762,768x = 2,707,630,758,144
  5. Step 5: Solve for x
    x = 2,707,630,758,144/762,768
  6. Step 6: Final answer
    x = 3,549,743.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.