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Finding the Third Proportional to 589,572,769 and 1,261,966,499

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Solution

The third proportional to 589,572,769 and 1,261,966,499 is: 2,701,209,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,572,769 : 1,261,966,499 = 1,261,966,499 : x
  2. Step 2: Convert to fraction form
    589,572,769/1,261,966,499 = 1,261,966,499/x
  3. Step 3: Cross multiply
    589,572,769x = 1,261,966,499 × 1,261,966,499
  4. Step 4: Simplify right side
    589,572,769x = 1,592,559,444,598,317,056
  5. Step 5: Solve for x
    x = 1,592,559,444,598,317,056/589,572,769
  6. Step 6: Final answer
    x = 2,701,209,296.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.