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Finding the Third Proportional to 713,831 and 1,051,009

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Solution

The third proportional to 713,831 and 1,051,009 is: 1,547,452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,831 : 1,051,009 = 1,051,009 : x
  2. Step 2: Convert to fraction form
    713,831/1,051,009 = 1,051,009/x
  3. Step 3: Cross multiply
    713,831x = 1,051,009 × 1,051,009
  4. Step 4: Simplify right side
    713,831x = 1,104,619,918,081
  5. Step 5: Solve for x
    x = 1,104,619,918,081/713,831
  6. Step 6: Final answer
    x = 1,547,452.99

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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.