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Finding the Third Proportional to 709,852.36 and 1,539,477.14

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Solution

The third proportional to 709,852.36 and 1,539,477.14 is: 3,338,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,852.36 : 1,539,477.14 = 1,539,477.14 : x
  2. Step 2: Convert to fraction form
    709,852.36/1,539,477.14 = 1,539,477.14/x
  3. Step 3: Cross multiply
    709,852.36x = 1,539,477.14 × 1,539,477.14
  4. Step 4: Simplify right side
    709,852.36x = 2,369,989,866,506.93
  5. Step 5: Solve for x
    x = 2,369,989,866,506.93/709,852.36
  6. Step 6: Final answer
    x = 3,338,708.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.