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Finding the Third Proportional to 892,506,684 and 1,928,423,706

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Solution

The third proportional to 892,506,684 and 1,928,423,706 is: 4,166,711,640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,506,684 : 1,928,423,706 = 1,928,423,706 : x
  2. Step 2: Convert to fraction form
    892,506,684/1,928,423,706 = 1,928,423,706/x
  3. Step 3: Cross multiply
    892,506,684x = 1,928,423,706 × 1,928,423,706
  4. Step 4: Simplify right side
    892,506,684x = 3,718,817,989,862,774,272
  5. Step 5: Solve for x
    x = 3,718,817,989,862,774,272/892,506,684
  6. Step 6: Final answer
    x = 4,166,711,640.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.