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Finding the Third Proportional to 830,622 and 1,301,298

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Solution

The third proportional to 830,622 and 1,301,298 is: 2,038,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,622 : 1,301,298 = 1,301,298 : x
  2. Step 2: Convert to fraction form
    830,622/1,301,298 = 1,301,298/x
  3. Step 3: Cross multiply
    830,622x = 1,301,298 × 1,301,298
  4. Step 4: Simplify right side
    830,622x = 1,693,376,484,804
  5. Step 5: Solve for x
    x = 1,693,376,484,804/830,622
  6. Step 6: Final answer
    x = 2,038,684.85

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.