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Finding the Third Proportional to 736,098 and 1,079,844

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Solution

The third proportional to 736,098 and 1,079,844 is: 1,584,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,098 : 1,079,844 = 1,079,844 : x
  2. Step 2: Convert to fraction form
    736,098/1,079,844 = 1,079,844/x
  3. Step 3: Cross multiply
    736,098x = 1,079,844 × 1,079,844
  4. Step 4: Simplify right side
    736,098x = 1,166,063,064,336
  5. Step 5: Solve for x
    x = 1,166,063,064,336/736,098
  6. Step 6: Final answer
    x = 1,584,113.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.