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Finding the Third Proportional to 1,134,075,034 and 1,779,027,484

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Solution

The third proportional to 1,134,075,034 and 1,779,027,484 is: 2,790,766,654.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134,075,034 : 1,779,027,484 = 1,779,027,484 : x
  2. Step 2: Convert to fraction form
    1,134,075,034/1,779,027,484 = 1,779,027,484/x
  3. Step 3: Cross multiply
    1,134,075,034x = 1,779,027,484 × 1,779,027,484
  4. Step 4: Simplify right side
    1,134,075,034x = 3,164,938,788,827,370,496
  5. Step 5: Solve for x
    x = 3,164,938,788,827,370,496/1,134,075,034
  6. Step 6: Final answer
    x = 2,790,766,654.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.