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Finding the Third Proportional to 578,522 and 1,265,476

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Solution

The third proportional to 578,522 and 1,265,476 is: 2,768,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,522 : 1,265,476 = 1,265,476 : x
  2. Step 2: Convert to fraction form
    578,522/1,265,476 = 1,265,476/x
  3. Step 3: Cross multiply
    578,522x = 1,265,476 × 1,265,476
  4. Step 4: Simplify right side
    578,522x = 1,601,429,506,576
  5. Step 5: Solve for x
    x = 1,601,429,506,576/578,522
  6. Step 6: Final answer
    x = 2,768,139.34

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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.