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Finding the Third Proportional to 1,089,535,520 and 1,528,834,248

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Solution

The third proportional to 1,089,535,520 and 1,528,834,248 is: 2,145,257,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089,535,520 : 1,528,834,248 = 1,528,834,248 : x
  2. Step 2: Convert to fraction form
    1,089,535,520/1,528,834,248 = 1,528,834,248/x
  3. Step 3: Cross multiply
    1,089,535,520x = 1,528,834,248 × 1,528,834,248
  4. Step 4: Simplify right side
    1,089,535,520x = 2,337,334,157,857,725,440
  5. Step 5: Solve for x
    x = 2,337,334,157,857,725,440/1,089,535,520
  6. Step 6: Final answer
    x = 2,145,257,419.29

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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.