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Finding the Third Proportional to 403,046 and 879,774

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Solution

The third proportional to 403,046 and 879,774 is: 1,920,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,046 : 879,774 = 879,774 : x
  2. Step 2: Convert to fraction form
    403,046/879,774 = 879,774/x
  3. Step 3: Cross multiply
    403,046x = 879,774 × 879,774
  4. Step 4: Simplify right side
    403,046x = 774,002,291,076
  5. Step 5: Solve for x
    x = 774,002,291,076/403,046
  6. Step 6: Final answer
    x = 1,920,382.02

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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.