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Finding the Third Proportional to 864,777,420 and 1,340,168,004

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Solution

The third proportional to 864,777,420 and 1,340,168,004 is: 2,076,893,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,777,420 : 1,340,168,004 = 1,340,168,004 : x
  2. Step 2: Convert to fraction form
    864,777,420/1,340,168,004 = 1,340,168,004/x
  3. Step 3: Cross multiply
    864,777,420x = 1,340,168,004 × 1,340,168,004
  4. Step 4: Simplify right side
    864,777,420x = 1,796,050,278,945,344,000
  5. Step 5: Solve for x
    x = 1,796,050,278,945,344,000/864,777,420
  6. Step 6: Final answer
    x = 2,076,893,125.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.