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Finding the Third Proportional to 909,736,544 and 1,300,034,728

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Solution

The third proportional to 909,736,544 and 1,300,034,728 is: 1,857,779,931.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,736,544 : 1,300,034,728 = 1,300,034,728 : x
  2. Step 2: Convert to fraction form
    909,736,544/1,300,034,728 = 1,300,034,728/x
  3. Step 3: Cross multiply
    909,736,544x = 1,300,034,728 × 1,300,034,728
  4. Step 4: Simplify right side
    909,736,544x = 1,690,090,294,006,033,920
  5. Step 5: Solve for x
    x = 1,690,090,294,006,033,920/909,736,544
  6. Step 6: Final answer
    x = 1,857,779,931.07

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.