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Finding the Third Proportional to 581,056 and 1,245,056

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Solution

The third proportional to 581,056 and 1,245,056 is: 2,667,840.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,056 : 1,245,056 = 1,245,056 : x
  2. Step 2: Convert to fraction form
    581,056/1,245,056 = 1,245,056/x
  3. Step 3: Cross multiply
    581,056x = 1,245,056 × 1,245,056
  4. Step 4: Simplify right side
    581,056x = 1,550,164,443,136
  5. Step 5: Solve for x
    x = 1,550,164,443,136/581,056
  6. Step 6: Final answer
    x = 2,667,840.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.