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Finding the Third Proportional to 1,875,658.78 and 2,906,152.17

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Solution

The third proportional to 1,875,658.78 and 2,906,152.17 is: 4,502,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875,658.78 : 2,906,152.17 = 2,906,152.17 : x
  2. Step 2: Convert to fraction form
    1,875,658.78/2,906,152.17 = 2,906,152.17/x
  3. Step 3: Cross multiply
    1,875,658.78x = 2,906,152.17 × 2,906,152.17
  4. Step 4: Simplify right side
    1,875,658.78x = 8,445,720,446,093.78
  5. Step 5: Solve for x
    x = 8,445,720,446,093.78/1,875,658.78
  6. Step 6: Final answer
    x = 4,502,802.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.