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Finding the Third Proportional to 585,133,288 and 858,302,066

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Solution

The third proportional to 585,133,288 and 858,302,066 is: 1,258,999,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,133,288 : 858,302,066 = 858,302,066 : x
  2. Step 2: Convert to fraction form
    585,133,288/858,302,066 = 858,302,066/x
  3. Step 3: Cross multiply
    585,133,288x = 858,302,066 × 858,302,066
  4. Step 4: Simplify right side
    585,133,288x = 736,682,436,499,868,416
  5. Step 5: Solve for x
    x = 736,682,436,499,868,416/585,133,288
  6. Step 6: Final answer
    x = 1,258,999,362.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.