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Finding the Third Proportional to 507,120,784 and 761,892,504

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Solution

The third proportional to 507,120,784 and 761,892,504 is: 1,144,658,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,120,784 : 761,892,504 = 761,892,504 : x
  2. Step 2: Convert to fraction form
    507,120,784/761,892,504 = 761,892,504/x
  3. Step 3: Cross multiply
    507,120,784x = 761,892,504 × 761,892,504
  4. Step 4: Simplify right side
    507,120,784x = 580,480,187,651,389,952
  5. Step 5: Solve for x
    x = 580,480,187,651,389,952/507,120,784
  6. Step 6: Final answer
    x = 1,144,658,641.42

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Why These Related Problems?

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