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Finding the Third Proportional to 697,289.63 and 1,076,689.13

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Solution

The third proportional to 697,289.63 and 1,076,689.13 is: 1,662,522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,289.63 : 1,076,689.13 = 1,076,689.13 : x
  2. Step 2: Convert to fraction form
    697,289.63/1,076,689.13 = 1,076,689.13/x
  3. Step 3: Cross multiply
    697,289.63x = 1,076,689.13 × 1,076,689.13
  4. Step 4: Simplify right side
    697,289.63x = 1,159,259,471,893.27
  5. Step 5: Solve for x
    x = 1,159,259,471,893.27/697,289.63
  6. Step 6: Final answer
    x = 1,662,522.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.