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Finding the Third Proportional to 936,506 and 2,051,428

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Solution

The third proportional to 936,506 and 2,051,428 is: 4,493,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,506 : 2,051,428 = 2,051,428 : x
  2. Step 2: Convert to fraction form
    936,506/2,051,428 = 2,051,428/x
  3. Step 3: Cross multiply
    936,506x = 2,051,428 × 2,051,428
  4. Step 4: Simplify right side
    936,506x = 4,208,356,839,184
  5. Step 5: Solve for x
    x = 4,208,356,839,184/936,506
  6. Step 6: Final answer
    x = 4,493,678.46

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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.