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Finding the Third Proportional to 528,822 and 1,157,772

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Solution

The third proportional to 528,822 and 1,157,772 is: 2,534,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,822 : 1,157,772 = 1,157,772 : x
  2. Step 2: Convert to fraction form
    528,822/1,157,772 = 1,157,772/x
  3. Step 3: Cross multiply
    528,822x = 1,157,772 × 1,157,772
  4. Step 4: Simplify right side
    528,822x = 1,340,436,003,984
  5. Step 5: Solve for x
    x = 1,340,436,003,984/528,822
  6. Step 6: Final answer
    x = 2,534,758.40

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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.