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Finding the Third Proportional to 2,113,280 and 4,563,456

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Solution

The third proportional to 2,113,280 and 4,563,456 is: 9,854,411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113,280 : 4,563,456 = 4,563,456 : x
  2. Step 2: Convert to fraction form
    2,113,280/4,563,456 = 4,563,456/x
  3. Step 3: Cross multiply
    2,113,280x = 4,563,456 × 4,563,456
  4. Step 4: Simplify right side
    2,113,280x = 20,825,130,663,936
  5. Step 5: Solve for x
    x = 20,825,130,663,936/2,113,280
  6. Step 6: Final answer
    x = 9,854,411.47

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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.