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Finding the Third Proportional to 851,465 and 1,309,142

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Solution

The third proportional to 851,465 and 1,309,142 is: 2,012,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,465 : 1,309,142 = 1,309,142 : x
  2. Step 2: Convert to fraction form
    851,465/1,309,142 = 1,309,142/x
  3. Step 3: Cross multiply
    851,465x = 1,309,142 × 1,309,142
  4. Step 4: Simplify right side
    851,465x = 1,713,852,776,164
  5. Step 5: Solve for x
    x = 1,713,852,776,164/851,465
  6. Step 6: Final answer
    x = 2,012,828.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.