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Finding the Third Proportional to 589,572,765 and 1,261,966,491

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Solution

The third proportional to 589,572,765 and 1,261,966,491 is: 2,701,209,280.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,572,765 : 1,261,966,491 = 1,261,966,491 : x
  2. Step 2: Convert to fraction form
    589,572,765/1,261,966,491 = 1,261,966,491/x
  3. Step 3: Cross multiply
    589,572,765x = 1,261,966,491 × 1,261,966,491
  4. Step 4: Simplify right side
    589,572,765x = 1,592,559,424,406,853,120
  5. Step 5: Solve for x
    x = 1,592,559,424,406,853,120/589,572,765
  6. Step 6: Final answer
    x = 2,701,209,280.60

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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.