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Finding the Third Proportional to 507,196 and 1,095,614

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Solution

The third proportional to 507,196 and 1,095,614 is: 2,366,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,196 : 1,095,614 = 1,095,614 : x
  2. Step 2: Convert to fraction form
    507,196/1,095,614 = 1,095,614/x
  3. Step 3: Cross multiply
    507,196x = 1,095,614 × 1,095,614
  4. Step 4: Simplify right side
    507,196x = 1,200,370,036,996
  5. Step 5: Solve for x
    x = 1,200,370,036,996/507,196
  6. Step 6: Final answer
    x = 2,366,678.83

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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.