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Finding the Third Proportional to 383,856,492 and 828,877,840

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Solution

The third proportional to 383,856,492 and 828,877,840 is: 1,789,831,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,856,492 : 828,877,840 = 828,877,840 : x
  2. Step 2: Convert to fraction form
    383,856,492/828,877,840 = 828,877,840/x
  3. Step 3: Cross multiply
    383,856,492x = 828,877,840 × 828,877,840
  4. Step 4: Simplify right side
    383,856,492x = 687,038,473,643,065,600
  5. Step 5: Solve for x
    x = 687,038,473,643,065,600/383,856,492
  6. Step 6: Final answer
    x = 1,789,831,585.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.