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Finding the Third Proportional to 708,598.13 and 1,076,019.19

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Solution

The third proportional to 708,598.13 and 1,076,019.19 is: 1,633,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,598.13 : 1,076,019.19 = 1,076,019.19 : x
  2. Step 2: Convert to fraction form
    708,598.13/1,076,019.19 = 1,076,019.19/x
  3. Step 3: Cross multiply
    708,598.13x = 1,076,019.19 × 1,076,019.19
  4. Step 4: Simplify right side
    708,598.13x = 1,157,817,291,868.16
  5. Step 5: Solve for x
    x = 1,157,817,291,868.16/708,598.13
  6. Step 6: Final answer
    x = 1,633,954.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.