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Finding the Third Proportional to 480,384 and 1,051,056

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Solution

The third proportional to 480,384 and 1,051,056 is: 2,299,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,384 : 1,051,056 = 1,051,056 : x
  2. Step 2: Convert to fraction form
    480,384/1,051,056 = 1,051,056/x
  3. Step 3: Cross multiply
    480,384x = 1,051,056 × 1,051,056
  4. Step 4: Simplify right side
    480,384x = 1,104,718,715,136
  5. Step 5: Solve for x
    x = 1,104,718,715,136/480,384
  6. Step 6: Final answer
    x = 2,299,657.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.