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Finding the Third Proportional to 511,248 and 1,075,365

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Solution

The third proportional to 511,248 and 1,075,365 is: 2,261,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,248 : 1,075,365 = 1,075,365 : x
  2. Step 2: Convert to fraction form
    511,248/1,075,365 = 1,075,365/x
  3. Step 3: Cross multiply
    511,248x = 1,075,365 × 1,075,365
  4. Step 4: Simplify right side
    511,248x = 1,156,409,883,225
  5. Step 5: Solve for x
    x = 1,156,409,883,225/511,248
  6. Step 6: Final answer
    x = 2,261,935.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.