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Finding the Third Proportional to 909,736,541 and 1,300,034,724

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Solution

The third proportional to 909,736,541 and 1,300,034,724 is: 1,857,779,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,736,541 : 1,300,034,724 = 1,300,034,724 : x
  2. Step 2: Convert to fraction form
    909,736,541/1,300,034,724 = 1,300,034,724/x
  3. Step 3: Cross multiply
    909,736,541x = 1,300,034,724 × 1,300,034,724
  4. Step 4: Simplify right side
    909,736,541x = 1,690,090,283,605,756,160
  5. Step 5: Solve for x
    x = 1,690,090,283,605,756,160/909,736,541
  6. Step 6: Final answer
    x = 1,857,779,925.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.