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Finding the Third Proportional to 644,184 and 1,371,528

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Solution

The third proportional to 644,184 and 1,371,528 is: 2,920,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,184 : 1,371,528 = 1,371,528 : x
  2. Step 2: Convert to fraction form
    644,184/1,371,528 = 1,371,528/x
  3. Step 3: Cross multiply
    644,184x = 1,371,528 × 1,371,528
  4. Step 4: Simplify right side
    644,184x = 1,881,089,054,784
  5. Step 5: Solve for x
    x = 1,881,089,054,784/644,184
  6. Step 6: Final answer
    x = 2,920,111.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.