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Finding the Third Proportional to 846,870 and 1,316,961

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Solution

The third proportional to 846,870 and 1,316,961 is: 2,047,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,870 : 1,316,961 = 1,316,961 : x
  2. Step 2: Convert to fraction form
    846,870/1,316,961 = 1,316,961/x
  3. Step 3: Cross multiply
    846,870x = 1,316,961 × 1,316,961
  4. Step 4: Simplify right side
    846,870x = 1,734,386,275,521
  5. Step 5: Solve for x
    x = 1,734,386,275,521/846,870
  6. Step 6: Final answer
    x = 2,047,995.89

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.