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Finding the Third Proportional to 456,014,496 and 754,773,408

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Solution

The third proportional to 456,014,496 and 754,773,408 is: 1,249,264,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,014,496 : 754,773,408 = 754,773,408 : x
  2. Step 2: Convert to fraction form
    456,014,496/754,773,408 = 754,773,408/x
  3. Step 3: Cross multiply
    456,014,496x = 754,773,408 × 754,773,408
  4. Step 4: Simplify right side
    456,014,496x = 569,682,897,423,934,464
  5. Step 5: Solve for x
    x = 569,682,897,423,934,464/456,014,496
  6. Step 6: Final answer
    x = 1,249,264,886.14

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.