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Finding the Third Proportional to 1,985,850 and 4,286,547

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Solution

The third proportional to 1,985,850 and 4,286,547 is: 9,252,705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985,850 : 4,286,547 = 4,286,547 : x
  2. Step 2: Convert to fraction form
    1,985,850/4,286,547 = 4,286,547/x
  3. Step 3: Cross multiply
    1,985,850x = 4,286,547 × 4,286,547
  4. Step 4: Simplify right side
    1,985,850x = 18,374,485,183,209
  5. Step 5: Solve for x
    x = 18,374,485,183,209/1,985,850
  6. Step 6: Final answer
    x = 9,252,705.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.