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Finding the Third Proportional to 720,235 and 1,547,223

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Solution

The third proportional to 720,235 and 1,547,223 is: 3,323,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,235 : 1,547,223 = 1,547,223 : x
  2. Step 2: Convert to fraction form
    720,235/1,547,223 = 1,547,223/x
  3. Step 3: Cross multiply
    720,235x = 1,547,223 × 1,547,223
  4. Step 4: Simplify right side
    720,235x = 2,393,899,011,729
  5. Step 5: Solve for x
    x = 2,393,899,011,729/720,235
  6. Step 6: Final answer
    x = 3,323,774.90

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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.