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Finding the Third Proportional to 856,308.75 and 1,333,477.13

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Solution

The third proportional to 856,308.75 and 1,333,477.13 is: 2,076,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,308.75 : 1,333,477.13 = 1,333,477.13 : x
  2. Step 2: Convert to fraction form
    856,308.75/1,333,477.13 = 1,333,477.13/x
  3. Step 3: Cross multiply
    856,308.75x = 1,333,477.13 × 1,333,477.13
  4. Step 4: Simplify right side
    856,308.75x = 1,778,161,242,898.27
  5. Step 5: Solve for x
    x = 1,778,161,242,898.27/856,308.75
  6. Step 6: Final answer
    x = 2,076,542.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.