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Finding the Third Proportional to 478,609,661.25 and 1,041,076,678.50

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Solution

The third proportional to 478,609,661.25 and 1,041,076,678.50 is: 2,264,560,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,609,661.25 : 1,041,076,678.50 = 1,041,076,678.50 : x
  2. Step 2: Convert to fraction form
    478,609,661.25/1,041,076,678.50 = 1,041,076,678.50/x
  3. Step 3: Cross multiply
    478,609,661.25x = 1,041,076,678.50 × 1,041,076,678.50
  4. Step 4: Simplify right side
    478,609,661.25x = 1,083,840,650,516,592,384
  5. Step 5: Solve for x
    x = 1,083,840,650,516,592,384/478,609,661.25
  6. Step 6: Final answer
    x = 2,264,560,743.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.