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Finding the Third Proportional to 2,970,585 and 6,497,586

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Solution

The third proportional to 2,970,585 and 6,497,586 is: 14,212,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970,585 : 6,497,586 = 6,497,586 : x
  2. Step 2: Convert to fraction form
    2,970,585/6,497,586 = 6,497,586/x
  3. Step 3: Cross multiply
    2,970,585x = 6,497,586 × 6,497,586
  4. Step 4: Simplify right side
    2,970,585x = 42,218,623,827,396
  5. Step 5: Solve for x
    x = 42,218,623,827,396/2,970,585
  6. Step 6: Final answer
    x = 14,212,225.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.