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Finding the Third Proportional to 831,966.19 and 1,316,262.66

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Solution

The third proportional to 831,966.19 and 1,316,262.66 is: 2,082,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,966.19 : 1,316,262.66 = 1,316,262.66 : x
  2. Step 2: Convert to fraction form
    831,966.19/1,316,262.66 = 1,316,262.66/x
  3. Step 3: Cross multiply
    831,966.19x = 1,316,262.66 × 1,316,262.66
  4. Step 4: Simplify right side
    831,966.19x = 1,732,547,380,238.31
  5. Step 5: Solve for x
    x = 1,732,547,380,238.31/831,966.19
  6. Step 6: Final answer
    x = 2,082,473.31

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.