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Finding the Third Proportional to 1,547,177 and 2,365,235

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Solution

The third proportional to 1,547,177 and 2,365,235 is: 3,615,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,177 : 2,365,235 = 2,365,235 : x
  2. Step 2: Convert to fraction form
    1,547,177/2,365,235 = 2,365,235/x
  3. Step 3: Cross multiply
    1,547,177x = 2,365,235 × 2,365,235
  4. Step 4: Simplify right side
    1,547,177x = 5,594,336,605,225
  5. Step 5: Solve for x
    x = 5,594,336,605,225/1,547,177
  6. Step 6: Final answer
    x = 3,615,834.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.