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Finding the Third Proportional to 692,642,367 and 1,039,875,448.50

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Solution

The third proportional to 692,642,367 and 1,039,875,448.50 is: 1,561,182,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,642,367 : 1,039,875,448.50 = 1,039,875,448.50 : x
  2. Step 2: Convert to fraction form
    692,642,367/1,039,875,448.50 = 1,039,875,448.50/x
  3. Step 3: Cross multiply
    692,642,367x = 1,039,875,448.50 × 1,039,875,448.50
  4. Step 4: Simplify right side
    692,642,367x = 1,081,340,948,393,076,096
  5. Step 5: Solve for x
    x = 1,081,340,948,393,076,096/692,642,367
  6. Step 6: Final answer
    x = 1,561,182,220.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.