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Finding the Third Proportional to 856,316 and 1,333,488

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Solution

The third proportional to 856,316 and 1,333,488 is: 2,076,558.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,316 : 1,333,488 = 1,333,488 : x
  2. Step 2: Convert to fraction form
    856,316/1,333,488 = 1,333,488/x
  3. Step 3: Cross multiply
    856,316x = 1,333,488 × 1,333,488
  4. Step 4: Simplify right side
    856,316x = 1,778,190,246,144
  5. Step 5: Solve for x
    x = 1,778,190,246,144/856,316
  6. Step 6: Final answer
    x = 2,076,558.47

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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.