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Finding the Third Proportional to 1,075,269,494 and 1,689,574,629

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Solution

The third proportional to 1,075,269,494 and 1,689,574,629 is: 2,654,834,386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075,269,494 : 1,689,574,629 = 1,689,574,629 : x
  2. Step 2: Convert to fraction form
    1,075,269,494/1,689,574,629 = 1,689,574,629/x
  3. Step 3: Cross multiply
    1,075,269,494x = 1,689,574,629 × 1,689,574,629
  4. Step 4: Simplify right side
    1,075,269,494x = 2,854,662,426,960,487,424
  5. Step 5: Solve for x
    x = 2,854,662,426,960,487,424/1,075,269,494
  6. Step 6: Final answer
    x = 2,654,834,386.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.