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Finding the Third Proportional to 2,896,852 and 6,235,478

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Solution

The third proportional to 2,896,852 and 6,235,478 is: 13,421,875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896,852 : 6,235,478 = 6,235,478 : x
  2. Step 2: Convert to fraction form
    2,896,852/6,235,478 = 6,235,478/x
  3. Step 3: Cross multiply
    2,896,852x = 6,235,478 × 6,235,478
  4. Step 4: Simplify right side
    2,896,852x = 38,881,185,888,484
  5. Step 5: Solve for x
    x = 38,881,185,888,484/2,896,852
  6. Step 6: Final answer
    x = 13,421,875.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.