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Finding the Third Proportional to 806,571 and 1,238,054.63

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Solution

The third proportional to 806,571 and 1,238,054.63 is: 1,900,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,571 : 1,238,054.63 = 1,238,054.63 : x
  2. Step 2: Convert to fraction form
    806,571/1,238,054.63 = 1,238,054.63/x
  3. Step 3: Cross multiply
    806,571x = 1,238,054.63 × 1,238,054.63
  4. Step 4: Simplify right side
    806,571x = 1,532,779,254,483.89
  5. Step 5: Solve for x
    x = 1,532,779,254,483.89/806,571
  6. Step 6: Final answer
    x = 1,900,364.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.