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Finding the Third Proportional to 2,636,460 and 5,756,184

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Solution

The third proportional to 2,636,460 and 5,756,184 is: 12,567,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636,460 : 5,756,184 = 5,756,184 : x
  2. Step 2: Convert to fraction form
    2,636,460/5,756,184 = 5,756,184/x
  3. Step 3: Cross multiply
    2,636,460x = 5,756,184 × 5,756,184
  4. Step 4: Simplify right side
    2,636,460x = 33,133,654,241,856
  5. Step 5: Solve for x
    x = 33,133,654,241,856/2,636,460
  6. Step 6: Final answer
    x = 12,567,478.45

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Why These Related Problems?

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