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Finding the Third Proportional to 447,752 and 921,784

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Solution

The third proportional to 447,752 and 921,784 is: 1,897,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,752 : 921,784 = 921,784 : x
  2. Step 2: Convert to fraction form
    447,752/921,784 = 921,784/x
  3. Step 3: Cross multiply
    447,752x = 921,784 × 921,784
  4. Step 4: Simplify right side
    447,752x = 849,685,742,656
  5. Step 5: Solve for x
    x = 849,685,742,656/447,752
  6. Step 6: Final answer
    x = 1,897,670.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.