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Finding the Third Proportional to 1,022,220 and 1,547,532

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Solution

The third proportional to 1,022,220 and 1,547,532 is: 2,342,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,220 : 1,547,532 = 1,547,532 : x
  2. Step 2: Convert to fraction form
    1,022,220/1,547,532 = 1,547,532/x
  3. Step 3: Cross multiply
    1,022,220x = 1,547,532 × 1,547,532
  4. Step 4: Simplify right side
    1,022,220x = 2,394,855,291,024
  5. Step 5: Solve for x
    x = 2,394,855,291,024/1,022,220
  6. Step 6: Final answer
    x = 2,342,798.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.