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Finding the Third Proportional to 2,141,184 and 4,754,688

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Solution

The third proportional to 2,141,184 and 4,754,688 is: 10,558,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,184 : 4,754,688 = 4,754,688 : x
  2. Step 2: Convert to fraction form
    2,141,184/4,754,688 = 4,754,688/x
  3. Step 3: Cross multiply
    2,141,184x = 4,754,688 × 4,754,688
  4. Step 4: Simplify right side
    2,141,184x = 22,607,057,977,344
  5. Step 5: Solve for x
    x = 22,607,057,977,344/2,141,184
  6. Step 6: Final answer
    x = 10,558,204.24

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.