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Finding the Third Proportional to 501,595,462 and 774,758,590

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Solution

The third proportional to 501,595,462 and 774,758,590 is: 1,196,683,220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,595,462 : 774,758,590 = 774,758,590 : x
  2. Step 2: Convert to fraction form
    501,595,462/774,758,590 = 774,758,590/x
  3. Step 3: Cross multiply
    501,595,462x = 774,758,590 × 774,758,590
  4. Step 4: Simplify right side
    501,595,462x = 600,250,872,778,788,096
  5. Step 5: Solve for x
    x = 600,250,872,778,788,096/501,595,462
  6. Step 6: Final answer
    x = 1,196,683,220.35

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Why These Related Problems?

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