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Finding the Third Proportional to 785,797,575 and 1,309,583,696

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Solution

The third proportional to 785,797,575 and 1,309,583,696 is: 2,182,507,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,797,575 : 1,309,583,696 = 1,309,583,696 : x
  2. Step 2: Convert to fraction form
    785,797,575/1,309,583,696 = 1,309,583,696/x
  3. Step 3: Cross multiply
    785,797,575x = 1,309,583,696 × 1,309,583,696
  4. Step 4: Simplify right side
    785,797,575x = 1,715,009,456,829,020,416
  5. Step 5: Solve for x
    x = 1,715,009,456,829,020,416/785,797,575
  6. Step 6: Final answer
    x = 2,182,507,952.93

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.