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Finding the Third Proportional to 2,986,386.47 and 4,611,600.84

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Solution

The third proportional to 2,986,386.47 and 4,611,600.84 is: 7,121,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986,386.47 : 4,611,600.84 = 4,611,600.84 : x
  2. Step 2: Convert to fraction form
    2,986,386.47/4,611,600.84 = 4,611,600.84/x
  3. Step 3: Cross multiply
    2,986,386.47x = 4,611,600.84 × 4,611,600.84
  4. Step 4: Simplify right side
    2,986,386.47x = 21,266,862,342,075.71
  5. Step 5: Solve for x
    x = 21,266,862,342,075.71/2,986,386.47
  6. Step 6: Final answer
    x = 7,121,269.32

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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.