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Finding the Third Proportional to 383,175,974 and 838,893,590

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Solution

The third proportional to 383,175,974 and 838,893,590 is: 1,836,603,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,175,974 : 838,893,590 = 838,893,590 : x
  2. Step 2: Convert to fraction form
    383,175,974/838,893,590 = 838,893,590/x
  3. Step 3: Cross multiply
    383,175,974x = 838,893,590 × 838,893,590
  4. Step 4: Simplify right side
    383,175,974x = 703,742,455,343,088,128
  5. Step 5: Solve for x
    x = 703,742,455,343,088,128/383,175,974
  6. Step 6: Final answer
    x = 1,836,603,814.16

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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.