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Finding the Third Proportional to 2,870,400 and 6,038,208

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Solution

The third proportional to 2,870,400 and 6,038,208 is: 12,702,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870,400 : 6,038,208 = 6,038,208 : x
  2. Step 2: Convert to fraction form
    2,870,400/6,038,208 = 6,038,208/x
  3. Step 3: Cross multiply
    2,870,400x = 6,038,208 × 6,038,208
  4. Step 4: Simplify right side
    2,870,400x = 36,459,955,851,264
  5. Step 5: Solve for x
    x = 36,459,955,851,264/2,870,400
  6. Step 6: Final answer
    x = 12,702,047.05

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.