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Finding the Third Proportional to 341,205,428 and 736,779,640

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Solution

The third proportional to 341,205,428 and 736,779,640 is: 1,590,960,147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,205,428 : 736,779,640 = 736,779,640 : x
  2. Step 2: Convert to fraction form
    341,205,428/736,779,640 = 736,779,640/x
  3. Step 3: Cross multiply
    341,205,428x = 736,779,640 × 736,779,640
  4. Step 4: Simplify right side
    341,205,428x = 542,844,237,918,529,600
  5. Step 5: Solve for x
    x = 542,844,237,918,529,600/341,205,428
  6. Step 6: Final answer
    x = 1,590,960,147.09

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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.