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Finding the Third Proportional to 644,197,936 and 985,032,528

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Solution

The third proportional to 644,197,936 and 985,032,528 is: 1,506,197,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,197,936 : 985,032,528 = 985,032,528 : x
  2. Step 2: Convert to fraction form
    644,197,936/985,032,528 = 985,032,528/x
  3. Step 3: Cross multiply
    644,197,936x = 985,032,528 × 985,032,528
  4. Step 4: Simplify right side
    644,197,936x = 970,289,081,218,070,784
  5. Step 5: Solve for x
    x = 970,289,081,218,070,784/644,197,936
  6. Step 6: Final answer
    x = 1,506,197,128.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.