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Finding the Third Proportional to 403,053 and 879,786

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Solution

The third proportional to 403,053 and 879,786 is: 1,920,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,053 : 879,786 = 879,786 : x
  2. Step 2: Convert to fraction form
    403,053/879,786 = 879,786/x
  3. Step 3: Cross multiply
    403,053x = 879,786 × 879,786
  4. Step 4: Simplify right side
    403,053x = 774,023,405,796
  5. Step 5: Solve for x
    x = 774,023,405,796/403,053
  6. Step 6: Final answer
    x = 1,920,401.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.