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Finding the Third Proportional to 413,730,423 and 890,230,500

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Solution

The third proportional to 413,730,423 and 890,230,500 is: 1,915,523,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,730,423 : 890,230,500 = 890,230,500 : x
  2. Step 2: Convert to fraction form
    413,730,423/890,230,500 = 890,230,500/x
  3. Step 3: Cross multiply
    413,730,423x = 890,230,500 × 890,230,500
  4. Step 4: Simplify right side
    413,730,423x = 792,510,343,130,249,984
  5. Step 5: Solve for x
    x = 792,510,343,130,249,984/413,730,423
  6. Step 6: Final answer
    x = 1,915,523,488.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.