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Finding the Third Proportional to 657,610,506 and 1,445,391,252

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Solution

The third proportional to 657,610,506 and 1,445,391,252 is: 3,176,889,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,610,506 : 1,445,391,252 = 1,445,391,252 : x
  2. Step 2: Convert to fraction form
    657,610,506/1,445,391,252 = 1,445,391,252/x
  3. Step 3: Cross multiply
    657,610,506x = 1,445,391,252 × 1,445,391,252
  4. Step 4: Simplify right side
    657,610,506x = 2,089,155,871,358,127,616
  5. Step 5: Solve for x
    x = 2,089,155,871,358,127,616/657,610,506
  6. Step 6: Final answer
    x = 3,176,889,438.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.