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Finding the Third Proportional to 846,090 and 1,295,928

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Solution

The third proportional to 846,090 and 1,295,928 is: 1,984,929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,090 : 1,295,928 = 1,295,928 : x
  2. Step 2: Convert to fraction form
    846,090/1,295,928 = 1,295,928/x
  3. Step 3: Cross multiply
    846,090x = 1,295,928 × 1,295,928
  4. Step 4: Simplify right side
    846,090x = 1,679,429,381,184
  5. Step 5: Solve for x
    x = 1,679,429,381,184/846,090
  6. Step 6: Final answer
    x = 1,984,929.95

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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.