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Finding the Third Proportional to 1,578,316 and 3,531,416

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Solution

The third proportional to 1,578,316 and 3,531,416 is: 7,901,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,316 : 3,531,416 = 3,531,416 : x
  2. Step 2: Convert to fraction form
    1,578,316/3,531,416 = 3,531,416/x
  3. Step 3: Cross multiply
    1,578,316x = 3,531,416 × 3,531,416
  4. Step 4: Simplify right side
    1,578,316x = 12,470,898,965,056
  5. Step 5: Solve for x
    x = 12,470,898,965,056/1,578,316
  6. Step 6: Final answer
    x = 7,901,395.52

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.