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Finding the Third Proportional to 623,130 and 1,355,610

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Solution

The third proportional to 623,130 and 1,355,610 is: 2,949,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,130 : 1,355,610 = 1,355,610 : x
  2. Step 2: Convert to fraction form
    623,130/1,355,610 = 1,355,610/x
  3. Step 3: Cross multiply
    623,130x = 1,355,610 × 1,355,610
  4. Step 4: Simplify right side
    623,130x = 1,837,678,472,100
  5. Step 5: Solve for x
    x = 1,837,678,472,100/623,130
  6. Step 6: Final answer
    x = 2,949,109.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.