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Finding the Third Proportional to 865,098 and 1,898,604

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Solution

The third proportional to 865,098 and 1,898,604 is: 4,166,807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,098 : 1,898,604 = 1,898,604 : x
  2. Step 2: Convert to fraction form
    865,098/1,898,604 = 1,898,604/x
  3. Step 3: Cross multiply
    865,098x = 1,898,604 × 1,898,604
  4. Step 4: Simplify right side
    865,098x = 3,604,697,148,816
  5. Step 5: Solve for x
    x = 3,604,697,148,816/865,098
  6. Step 6: Final answer
    x = 4,166,807.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.