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Finding the Third Proportional to 856,314 and 1,333,494

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Solution

The third proportional to 856,314 and 1,333,494 is: 2,076,582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,314 : 1,333,494 = 1,333,494 : x
  2. Step 2: Convert to fraction form
    856,314/1,333,494 = 1,333,494/x
  3. Step 3: Cross multiply
    856,314x = 1,333,494 × 1,333,494
  4. Step 4: Simplify right side
    856,314x = 1,778,206,248,036
  5. Step 5: Solve for x
    x = 1,778,206,248,036/856,314
  6. Step 6: Final answer
    x = 2,076,582.01

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