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Finding the Third Proportional to 1,075,337,716 and 1,660,762,454

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Solution

The third proportional to 1,075,337,716 and 1,660,762,454 is: 2,564,898,345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075,337,716 : 1,660,762,454 = 1,660,762,454 : x
  2. Step 2: Convert to fraction form
    1,075,337,716/1,660,762,454 = 1,660,762,454/x
  3. Step 3: Cross multiply
    1,075,337,716x = 1,660,762,454 × 1,660,762,454
  4. Step 4: Simplify right side
    1,075,337,716x = 2,758,131,928,616,101,888
  5. Step 5: Solve for x
    x = 2,758,131,928,616,101,888/1,075,337,716
  6. Step 6: Final answer
    x = 2,564,898,345.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.