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Finding the Third Proportional to 2,116,421 and 4,572,434

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Solution

The third proportional to 2,116,421 and 4,572,434 is: 9,878,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116,421 : 4,572,434 = 4,572,434 : x
  2. Step 2: Convert to fraction form
    2,116,421/4,572,434 = 4,572,434/x
  3. Step 3: Cross multiply
    2,116,421x = 4,572,434 × 4,572,434
  4. Step 4: Simplify right side
    2,116,421x = 20,907,152,684,356
  5. Step 5: Solve for x
    x = 20,907,152,684,356/2,116,421
  6. Step 6: Final answer
    x = 9,878,541.50

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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.