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Finding the Third Proportional to 362,184,498 and 785,617,506

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Solution

The third proportional to 362,184,498 and 785,617,506 is: 1,704,089,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,184,498 : 785,617,506 = 785,617,506 : x
  2. Step 2: Convert to fraction form
    362,184,498/785,617,506 = 785,617,506/x
  3. Step 3: Cross multiply
    362,184,498x = 785,617,506 × 785,617,506
  4. Step 4: Simplify right side
    362,184,498x = 617,194,865,733,660,032
  5. Step 5: Solve for x
    x = 617,194,865,733,660,032/362,184,498
  6. Step 6: Final answer
    x = 1,704,089,681.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.