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Finding the Third Proportional to 1,346,547 and 2,950,593

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Solution

The third proportional to 1,346,547 and 2,950,593 is: 6,465,425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,547 : 2,950,593 = 2,950,593 : x
  2. Step 2: Convert to fraction form
    1,346,547/2,950,593 = 2,950,593/x
  3. Step 3: Cross multiply
    1,346,547x = 2,950,593 × 2,950,593
  4. Step 4: Simplify right side
    1,346,547x = 8,705,999,051,649
  5. Step 5: Solve for x
    x = 8,705,999,051,649/1,346,547
  6. Step 6: Final answer
    x = 6,465,425.31

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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.