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Finding the Third Proportional to 910,148 and 1,413,178

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Solution

The third proportional to 910,148 and 1,413,178 is: 2,194,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,148 : 1,413,178 = 1,413,178 : x
  2. Step 2: Convert to fraction form
    910,148/1,413,178 = 1,413,178/x
  3. Step 3: Cross multiply
    910,148x = 1,413,178 × 1,413,178
  4. Step 4: Simplify right side
    910,148x = 1,997,072,059,684
  5. Step 5: Solve for x
    x = 1,997,072,059,684/910,148
  6. Step 6: Final answer
    x = 2,194,227.82

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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.