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Finding the Third Proportional to 2,564,523 and 5,554,613

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Solution

The third proportional to 2,564,523 and 5,554,613 is: 12,030,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,523 : 5,554,613 = 5,554,613 : x
  2. Step 2: Convert to fraction form
    2,564,523/5,554,613 = 5,554,613/x
  3. Step 3: Cross multiply
    2,564,523x = 5,554,613 × 5,554,613
  4. Step 4: Simplify right side
    2,564,523x = 30,853,725,579,769
  5. Step 5: Solve for x
    x = 30,853,725,579,769/2,564,523
  6. Step 6: Final answer
    x = 12,030,980.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.