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Finding the Third Proportional to 1,018,266.19 and 1,402,668.14

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Solution

The third proportional to 1,018,266.19 and 1,402,668.14 is: 1,932,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,266.19 : 1,402,668.14 = 1,402,668.14 : x
  2. Step 2: Convert to fraction form
    1,018,266.19/1,402,668.14 = 1,402,668.14/x
  3. Step 3: Cross multiply
    1,018,266.19x = 1,402,668.14 × 1,402,668.14
  4. Step 4: Simplify right side
    1,018,266.19x = 1,967,477,912,724.39
  5. Step 5: Solve for x
    x = 1,967,477,912,724.39/1,018,266.19
  6. Step 6: Final answer
    x = 1,932,184.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.