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Finding the Third Proportional to 718,760,468 and 1,075,267,465

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Solution

The third proportional to 718,760,468 and 1,075,267,465 is: 1,608,602,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,760,468 : 1,075,267,465 = 1,075,267,465 : x
  2. Step 2: Convert to fraction form
    718,760,468/1,075,267,465 = 1,075,267,465/x
  3. Step 3: Cross multiply
    718,760,468x = 1,075,267,465 × 1,075,267,465
  4. Step 4: Simplify right side
    718,760,468x = 1,156,200,121,287,526,144
  5. Step 5: Solve for x
    x = 1,156,200,121,287,526,144/718,760,468
  6. Step 6: Final answer
    x = 1,608,602,827.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.