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Finding the Third Proportional to 894,095 and 1,916,028

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Solution

The third proportional to 894,095 and 1,916,028 is: 4,106,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,095 : 1,916,028 = 1,916,028 : x
  2. Step 2: Convert to fraction form
    894,095/1,916,028 = 1,916,028/x
  3. Step 3: Cross multiply
    894,095x = 1,916,028 × 1,916,028
  4. Step 4: Simplify right side
    894,095x = 3,671,163,296,784
  5. Step 5: Solve for x
    x = 3,671,163,296,784/894,095
  6. Step 6: Final answer
    x = 4,106,010.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.