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Finding the Third Proportional to 403,136 and 879,952

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Solution

The third proportional to 403,136 and 879,952 is: 1,920,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,136 : 879,952 = 879,952 : x
  2. Step 2: Convert to fraction form
    403,136/879,952 = 879,952/x
  3. Step 3: Cross multiply
    403,136x = 879,952 × 879,952
  4. Step 4: Simplify right side
    403,136x = 774,315,522,304
  5. Step 5: Solve for x
    x = 774,315,522,304/403,136
  6. Step 6: Final answer
    x = 1,920,730.28

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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.