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Finding the Third Proportional to 590,267,772 and 882,148,372

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Solution

The third proportional to 590,267,772 and 882,148,372 is: 1,318,360,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,267,772 : 882,148,372 = 882,148,372 : x
  2. Step 2: Convert to fraction form
    590,267,772/882,148,372 = 882,148,372/x
  3. Step 3: Cross multiply
    590,267,772x = 882,148,372 × 882,148,372
  4. Step 4: Simplify right side
    590,267,772x = 778,185,750,222,250,368
  5. Step 5: Solve for x
    x = 778,185,750,222,250,368/590,267,772
  6. Step 6: Final answer
    x = 1,318,360,559.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.