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Finding the Third Proportional to 697,292 and 1,076,692

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Solution

The third proportional to 697,292 and 1,076,692 is: 1,662,525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,292 : 1,076,692 = 1,076,692 : x
  2. Step 2: Convert to fraction form
    697,292/1,076,692 = 1,076,692/x
  3. Step 3: Cross multiply
    697,292x = 1,076,692 × 1,076,692
  4. Step 4: Simplify right side
    697,292x = 1,159,265,662,864
  5. Step 5: Solve for x
    x = 1,159,265,662,864/697,292
  6. Step 6: Final answer
    x = 1,662,525.40

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