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Finding the Third Proportional to 602,218,184 and 920,636,200

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Solution

The third proportional to 602,218,184 and 920,636,200 is: 1,407,415,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,218,184 : 920,636,200 = 920,636,200 : x
  2. Step 2: Convert to fraction form
    602,218,184/920,636,200 = 920,636,200/x
  3. Step 3: Cross multiply
    602,218,184x = 920,636,200 × 920,636,200
  4. Step 4: Simplify right side
    602,218,184x = 847,571,012,750,439,936
  5. Step 5: Solve for x
    x = 847,571,012,750,439,936/602,218,184
  6. Step 6: Final answer
    x = 1,407,415,178.20

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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.