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Finding the Third Proportional to 709,368 and 1,556,544

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Solution

The third proportional to 709,368 and 1,556,544 is: 3,415,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,368 : 1,556,544 = 1,556,544 : x
  2. Step 2: Convert to fraction form
    709,368/1,556,544 = 1,556,544/x
  3. Step 3: Cross multiply
    709,368x = 1,556,544 × 1,556,544
  4. Step 4: Simplify right side
    709,368x = 2,422,829,223,936
  5. Step 5: Solve for x
    x = 2,422,829,223,936/709,368
  6. Step 6: Final answer
    x = 3,415,475.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.