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Finding the Third Proportional to 590,267,758 and 882,148,352

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Solution

The third proportional to 590,267,758 and 882,148,352 is: 1,318,360,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,267,758 : 882,148,352 = 882,148,352 : x
  2. Step 2: Convert to fraction form
    590,267,758/882,148,352 = 882,148,352/x
  3. Step 3: Cross multiply
    590,267,758x = 882,148,352 × 882,148,352
  4. Step 4: Simplify right side
    590,267,758x = 778,185,714,936,315,904
  5. Step 5: Solve for x
    x = 778,185,714,936,315,904/590,267,758
  6. Step 6: Final answer
    x = 1,318,360,531.11

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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.