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Finding the Third Proportional to 2,894,140 and 6,302,572

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Solution

The third proportional to 2,894,140 and 6,302,572 is: 13,725,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894,140 : 6,302,572 = 6,302,572 : x
  2. Step 2: Convert to fraction form
    2,894,140/6,302,572 = 6,302,572/x
  3. Step 3: Cross multiply
    2,894,140x = 6,302,572 × 6,302,572
  4. Step 4: Simplify right side
    2,894,140x = 39,722,413,815,184
  5. Step 5: Solve for x
    x = 39,722,413,815,184/2,894,140
  6. Step 6: Final answer
    x = 13,725,118.28

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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.