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Finding the Third Proportional to 830,586 and 1,776,342

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Solution

The third proportional to 830,586 and 1,776,342 is: 3,798,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,586 : 1,776,342 = 1,776,342 : x
  2. Step 2: Convert to fraction form
    830,586/1,776,342 = 1,776,342/x
  3. Step 3: Cross multiply
    830,586x = 1,776,342 × 1,776,342
  4. Step 4: Simplify right side
    830,586x = 3,155,390,900,964
  5. Step 5: Solve for x
    x = 3,155,390,900,964/830,586
  6. Step 6: Final answer
    x = 3,798,993.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.