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Finding the Third Proportional to 2,428,294 and 3,563,709

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Solution

The third proportional to 2,428,294 and 3,563,709 is: 5,230,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428,294 : 3,563,709 = 3,563,709 : x
  2. Step 2: Convert to fraction form
    2,428,294/3,563,709 = 3,563,709/x
  3. Step 3: Cross multiply
    2,428,294x = 3,563,709 × 3,563,709
  4. Step 4: Simplify right side
    2,428,294x = 12,700,021,836,681
  5. Step 5: Solve for x
    x = 12,700,021,836,681/2,428,294
  6. Step 6: Final answer
    x = 5,230,018.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.