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Finding the Third Proportional to 346,140 and 745,848

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Solution

The third proportional to 346,140 and 745,848 is: 1,607,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,140 : 745,848 = 745,848 : x
  2. Step 2: Convert to fraction form
    346,140/745,848 = 745,848/x
  3. Step 3: Cross multiply
    346,140x = 745,848 × 745,848
  4. Step 4: Simplify right side
    346,140x = 556,289,239,104
  5. Step 5: Solve for x
    x = 556,289,239,104/346,140
  6. Step 6: Final answer
    x = 1,607,122.09

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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.