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Finding the Third Proportional to 2,904,468 and 6,312,678

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Solution

The third proportional to 2,904,468 and 6,312,678 is: 13,720,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904,468 : 6,312,678 = 6,312,678 : x
  2. Step 2: Convert to fraction form
    2,904,468/6,312,678 = 6,312,678/x
  3. Step 3: Cross multiply
    2,904,468x = 6,312,678 × 6,312,678
  4. Step 4: Simplify right side
    2,904,468x = 39,849,903,531,684
  5. Step 5: Solve for x
    x = 39,849,903,531,684/2,904,468
  6. Step 6: Final answer
    x = 13,720,207.46

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Why These Related Problems?

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