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Finding the Third Proportional to 483,480 and 1,047,312

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Solution

The third proportional to 483,480 and 1,047,312 is: 2,268,682.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,480 : 1,047,312 = 1,047,312 : x
  2. Step 2: Convert to fraction form
    483,480/1,047,312 = 1,047,312/x
  3. Step 3: Cross multiply
    483,480x = 1,047,312 × 1,047,312
  4. Step 4: Simplify right side
    483,480x = 1,096,862,425,344
  5. Step 5: Solve for x
    x = 1,096,862,425,344/483,480
  6. Step 6: Final answer
    x = 2,268,682.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.