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Finding the Third Proportional to 847,276 and 1,866,424

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Solution

The third proportional to 847,276 and 1,866,424 is: 4,111,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,276 : 1,866,424 = 1,866,424 : x
  2. Step 2: Convert to fraction form
    847,276/1,866,424 = 1,866,424/x
  3. Step 3: Cross multiply
    847,276x = 1,866,424 × 1,866,424
  4. Step 4: Simplify right side
    847,276x = 3,483,538,547,776
  5. Step 5: Solve for x
    x = 3,483,538,547,776/847,276
  6. Step 6: Final answer
    x = 4,111,456.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.