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Finding the Third Proportional to 945,428 and 1,403,296

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Solution

The third proportional to 945,428 and 1,403,296 is: 2,082,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,428 : 1,403,296 = 1,403,296 : x
  2. Step 2: Convert to fraction form
    945,428/1,403,296 = 1,403,296/x
  3. Step 3: Cross multiply
    945,428x = 1,403,296 × 1,403,296
  4. Step 4: Simplify right side
    945,428x = 1,969,239,663,616
  5. Step 5: Solve for x
    x = 1,969,239,663,616/945,428
  6. Step 6: Final answer
    x = 2,082,908.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.