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Finding the Third Proportional to 776,548 and 1,139,009

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Solution

The third proportional to 776,548 and 1,139,009 is: 1,670,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,548 : 1,139,009 = 1,139,009 : x
  2. Step 2: Convert to fraction form
    776,548/1,139,009 = 1,139,009/x
  3. Step 3: Cross multiply
    776,548x = 1,139,009 × 1,139,009
  4. Step 4: Simplify right side
    776,548x = 1,297,341,502,081
  5. Step 5: Solve for x
    x = 1,297,341,502,081/776,548
  6. Step 6: Final answer
    x = 1,670,652.04

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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.