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Finding the Third Proportional to 1,202,210 and 1,799,547

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Solution

The third proportional to 1,202,210 and 1,799,547 is: 2,693,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,210 : 1,799,547 = 1,799,547 : x
  2. Step 2: Convert to fraction form
    1,202,210/1,799,547 = 1,799,547/x
  3. Step 3: Cross multiply
    1,202,210x = 1,799,547 × 1,799,547
  4. Step 4: Simplify right side
    1,202,210x = 3,238,369,405,209
  5. Step 5: Solve for x
    x = 3,238,369,405,209/1,202,210
  6. Step 6: Final answer
    x = 2,693,680.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.