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Finding the Third Proportional to 592,895,386 and 1,287,855,572

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Solution

The third proportional to 592,895,386 and 1,287,855,572 is: 2,797,410,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,895,386 : 1,287,855,572 = 1,287,855,572 : x
  2. Step 2: Convert to fraction form
    592,895,386/1,287,855,572 = 1,287,855,572/x
  3. Step 3: Cross multiply
    592,895,386x = 1,287,855,572 × 1,287,855,572
  4. Step 4: Simplify right side
    592,895,386x = 1,658,571,974,331,447,296
  5. Step 5: Solve for x
    x = 1,658,571,974,331,447,296/592,895,386
  6. Step 6: Final answer
    x = 2,797,410,830.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.