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Finding the Third Proportional to 841,658 and 1,218,261

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Solution

The third proportional to 841,658 and 1,218,261 is: 1,763,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,658 : 1,218,261 = 1,218,261 : x
  2. Step 2: Convert to fraction form
    841,658/1,218,261 = 1,218,261/x
  3. Step 3: Cross multiply
    841,658x = 1,218,261 × 1,218,261
  4. Step 4: Simplify right side
    841,658x = 1,484,159,864,121
  5. Step 5: Solve for x
    x = 1,484,159,864,121/841,658
  6. Step 6: Final answer
    x = 1,763,376.41

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.