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Finding the Third Proportional to 713,184 and 1,554,312

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Solution

The third proportional to 713,184 and 1,554,312 is: 3,387,464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,184 : 1,554,312 = 1,554,312 : x
  2. Step 2: Convert to fraction form
    713,184/1,554,312 = 1,554,312/x
  3. Step 3: Cross multiply
    713,184x = 1,554,312 × 1,554,312
  4. Step 4: Simplify right side
    713,184x = 2,415,885,793,344
  5. Step 5: Solve for x
    x = 2,415,885,793,344/713,184
  6. Step 6: Final answer
    x = 3,387,464.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.