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Finding the Third Proportional to 572,784 and 1,239,960

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Solution

The third proportional to 572,784 and 1,239,960 is: 2,684,259.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,784 : 1,239,960 = 1,239,960 : x
  2. Step 2: Convert to fraction form
    572,784/1,239,960 = 1,239,960/x
  3. Step 3: Cross multiply
    572,784x = 1,239,960 × 1,239,960
  4. Step 4: Simplify right side
    572,784x = 1,537,500,801,600
  5. Step 5: Solve for x
    x = 1,537,500,801,600/572,784
  6. Step 6: Final answer
    x = 2,684,259.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.