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Finding the Third Proportional to 654,705 and 1,009,061

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Solution

The third proportional to 654,705 and 1,009,061 is: 1,555,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,705 : 1,009,061 = 1,009,061 : x
  2. Step 2: Convert to fraction form
    654,705/1,009,061 = 1,009,061/x
  3. Step 3: Cross multiply
    654,705x = 1,009,061 × 1,009,061
  4. Step 4: Simplify right side
    654,705x = 1,018,204,101,721
  5. Step 5: Solve for x
    x = 1,018,204,101,721/654,705
  6. Step 6: Final answer
    x = 1,555,210.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.