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Finding the Third Proportional to 1,896,087 and 4,178,688

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Solution

The third proportional to 1,896,087 and 4,178,688 is: 9,209,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896,087 : 4,178,688 = 4,178,688 : x
  2. Step 2: Convert to fraction form
    1,896,087/4,178,688 = 4,178,688/x
  3. Step 3: Cross multiply
    1,896,087x = 4,178,688 × 4,178,688
  4. Step 4: Simplify right side
    1,896,087x = 17,461,433,401,344
  5. Step 5: Solve for x
    x = 17,461,433,401,344/1,896,087
  6. Step 6: Final answer
    x = 9,209,194.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.