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Finding the Third Proportional to 586,592,238 and 1,274,075,295

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Solution

The third proportional to 586,592,238 and 1,274,075,295 is: 2,767,284,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,592,238 : 1,274,075,295 = 1,274,075,295 : x
  2. Step 2: Convert to fraction form
    586,592,238/1,274,075,295 = 1,274,075,295/x
  3. Step 3: Cross multiply
    586,592,238x = 1,274,075,295 × 1,274,075,295
  4. Step 4: Simplify right side
    586,592,238x = 1,623,267,857,329,337,088
  5. Step 5: Solve for x
    x = 1,623,267,857,329,337,088/586,592,238
  6. Step 6: Final answer
    x = 2,767,284,924.98

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