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Finding the Third Proportional to 675,045,444 and 1,014,365,475

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Solution

The third proportional to 675,045,444 and 1,014,365,475 is: 1,524,248,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,045,444 : 1,014,365,475 = 1,014,365,475 : x
  2. Step 2: Convert to fraction form
    675,045,444/1,014,365,475 = 1,014,365,475/x
  3. Step 3: Cross multiply
    675,045,444x = 1,014,365,475 × 1,014,365,475
  4. Step 4: Simplify right side
    675,045,444x = 1,028,937,316,871,975,680
  5. Step 5: Solve for x
    x = 1,028,937,316,871,975,680/675,045,444
  6. Step 6: Final answer
    x = 1,524,248,961.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.