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Finding the Third Proportional to 944,064 and 2,038,368

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Solution

The third proportional to 944,064 and 2,038,368 is: 4,401,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,064 : 2,038,368 = 2,038,368 : x
  2. Step 2: Convert to fraction form
    944,064/2,038,368 = 2,038,368/x
  3. Step 3: Cross multiply
    944,064x = 2,038,368 × 2,038,368
  4. Step 4: Simplify right side
    944,064x = 4,154,944,103,424
  5. Step 5: Solve for x
    x = 4,154,944,103,424/944,064
  6. Step 6: Final answer
    x = 4,401,125.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.