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Finding the Third Proportional to 2,146,768 and 2,905,224

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Solution

The third proportional to 2,146,768 and 2,905,224 is: 3,931,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,768 : 2,905,224 = 2,905,224 : x
  2. Step 2: Convert to fraction form
    2,146,768/2,905,224 = 2,905,224/x
  3. Step 3: Cross multiply
    2,146,768x = 2,905,224 × 2,905,224
  4. Step 4: Simplify right side
    2,146,768x = 8,440,326,490,176
  5. Step 5: Solve for x
    x = 8,440,326,490,176/2,146,768
  6. Step 6: Final answer
    x = 3,931,643.52

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.