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Finding the Third Proportional to 572,946 and 1,248,600

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Solution

The third proportional to 572,946 and 1,248,600 is: 2,721,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,946 : 1,248,600 = 1,248,600 : x
  2. Step 2: Convert to fraction form
    572,946/1,248,600 = 1,248,600/x
  3. Step 3: Cross multiply
    572,946x = 1,248,600 × 1,248,600
  4. Step 4: Simplify right side
    572,946x = 1,559,001,960,000
  5. Step 5: Solve for x
    x = 1,559,001,960,000/572,946
  6. Step 6: Final answer
    x = 2,721,027.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.