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Finding the Third Proportional to 556,346 and 1,201,388

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Solution

The third proportional to 556,346 and 1,201,388 is: 2,594,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,346 : 1,201,388 = 1,201,388 : x
  2. Step 2: Convert to fraction form
    556,346/1,201,388 = 1,201,388/x
  3. Step 3: Cross multiply
    556,346x = 1,201,388 × 1,201,388
  4. Step 4: Simplify right side
    556,346x = 1,443,333,126,544
  5. Step 5: Solve for x
    x = 1,443,333,126,544/556,346
  6. Step 6: Final answer
    x = 2,594,308.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.