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Finding the Third Proportional to 1,452,710,514 and 2,038,440,429

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Solution

The third proportional to 1,452,710,514 and 2,038,440,429 is: 2,860,335,450.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452,710,514 : 2,038,440,429 = 2,038,440,429 : x
  2. Step 2: Convert to fraction form
    1,452,710,514/2,038,440,429 = 2,038,440,429/x
  3. Step 3: Cross multiply
    1,452,710,514x = 2,038,440,429 × 2,038,440,429
  4. Step 4: Simplify right side
    1,452,710,514x = 4,155,239,382,581,704,192
  5. Step 5: Solve for x
    x = 4,155,239,382,581,704,192/1,452,710,514
  6. Step 6: Final answer
    x = 2,860,335,450.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.