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Finding the Third Proportional to 873,428 and 1,909,786

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Solution

The third proportional to 873,428 and 1,909,786 is: 4,175,825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,428 : 1,909,786 = 1,909,786 : x
  2. Step 2: Convert to fraction form
    873,428/1,909,786 = 1,909,786/x
  3. Step 3: Cross multiply
    873,428x = 1,909,786 × 1,909,786
  4. Step 4: Simplify right side
    873,428x = 3,647,282,565,796
  5. Step 5: Solve for x
    x = 3,647,282,565,796/873,428
  6. Step 6: Final answer
    x = 4,175,825.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.