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Finding the Third Proportional to 286,095,259 and 617,927,240

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Solution

The third proportional to 286,095,259 and 617,927,240 is: 1,334,639,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,095,259 : 617,927,240 = 617,927,240 : x
  2. Step 2: Convert to fraction form
    286,095,259/617,927,240 = 617,927,240/x
  3. Step 3: Cross multiply
    286,095,259x = 617,927,240 × 617,927,240
  4. Step 4: Simplify right side
    286,095,259x = 381,834,073,934,017,600
  5. Step 5: Solve for x
    x = 381,834,073,934,017,600/286,095,259
  6. Step 6: Final answer
    x = 1,334,639,641.60

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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.